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Finding the Fourth Proportional to 64,715.88, 89,293.14 and 36,411.24

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Solution

The fourth proportional to 64,715.88, 89,293.14 and 36,411.24 is: 50,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,715.88 : 89,293.14 = 36,411.24 : x
  2. Step 2: Convert to fraction form
    64,715.88/89,293.14 = 36,411.24/x
  3. Step 3: Cross multiply
    64,715.88x = 89,293.14 × 36,411.24
  4. Step 4: Simplify right side
    64,715.88x = 3,251,273,950.89
  5. Step 5: Solve for x
    x = 3,251,273,950.89/64,715.88
  6. Step 6: Final answer
    x = 50,239.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.