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Finding the Fourth Proportional to 75,351.40, 112,929.90 and 57,733.90

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Solution

The fourth proportional to 75,351.40, 112,929.90 and 57,733.90 is: 86,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,351.40 : 112,929.90 = 57,733.90 : x
  2. Step 2: Convert to fraction form
    75,351.40/112,929.90 = 57,733.90/x
  3. Step 3: Cross multiply
    75,351.40x = 112,929.90 × 57,733.90
  4. Step 4: Simplify right side
    75,351.40x = 6,519,883,553.61
  5. Step 5: Solve for x
    x = 6,519,883,553.61/75,351.40
  6. Step 6: Final answer
    x = 86,526.38

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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.