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Finding the Fourth Proportional to 20,043.02, 30,061.02 and 6,895.64

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Solution

The fourth proportional to 20,043.02, 30,061.02 and 6,895.64 is: 10,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.02 : 30,061.02 = 6,895.64 : x
  2. Step 2: Convert to fraction form
    20,043.02/30,061.02 = 6,895.64/x
  3. Step 3: Cross multiply
    20,043.02x = 30,061.02 × 6,895.64
  4. Step 4: Simplify right side
    20,043.02x = 207,289,971.95
  5. Step 5: Solve for x
    x = 207,289,971.95/20,043.02
  6. Step 6: Final answer
    x = 10,342.25

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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.