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Finding the Fourth Proportional to 20,702,946.15, 31,054,419.23 and 20,702,946.15

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Solution

The fourth proportional to 20,702,946.15, 31,054,419.23 and 20,702,946.15 is: 31,054,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702,946.15 : 31,054,419.23 = 20,702,946.15 : x
  2. Step 2: Convert to fraction form
    20,702,946.15/31,054,419.23 = 20,702,946.15/x
  3. Step 3: Cross multiply
    20,702,946.15x = 31,054,419.23 × 20,702,946.15
  4. Step 4: Simplify right side
    20,702,946.15x = 642,917,969,038,214.38
  5. Step 5: Solve for x
    x = 642,917,969,038,214.38/20,702,946.15
  6. Step 6: Final answer
    x = 31,054,419.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.