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Finding the Fourth Proportional to 71,897.71, 107,813.52 and 24,493.51

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Solution

The fourth proportional to 71,897.71, 107,813.52 and 24,493.51 is: 36,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,897.71 : 107,813.52 = 24,493.51 : x
  2. Step 2: Convert to fraction form
    71,897.71/107,813.52 = 24,493.51/x
  3. Step 3: Cross multiply
    71,897.71x = 107,813.52 × 24,493.51
  4. Step 4: Simplify right side
    71,897.71x = 2,640,731,407.79
  5. Step 5: Solve for x
    x = 2,640,731,407.79/71,897.71
  6. Step 6: Final answer
    x = 36,729.01

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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.