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Finding the Fourth Proportional to 106,602.69, 159,904.01 and 31,723.90

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Solution

The fourth proportional to 106,602.69, 159,904.01 and 31,723.90 is: 47,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,602.69 : 159,904.01 = 31,723.90 : x
  2. Step 2: Convert to fraction form
    106,602.69/159,904.01 = 31,723.90/x
  3. Step 3: Cross multiply
    106,602.69x = 159,904.01 × 31,723.90
  4. Step 4: Simplify right side
    106,602.69x = 5,072,778,664.22
  5. Step 5: Solve for x
    x = 5,072,778,664.22/106,602.69
  6. Step 6: Final answer
    x = 47,585.84

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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.