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Finding the Fourth Proportional to 65,115.38, 89,859.76 and 35,307.38

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Solution

The fourth proportional to 65,115.38, 89,859.76 and 35,307.38 is: 48,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,115.38 : 89,859.76 = 35,307.38 : x
  2. Step 2: Convert to fraction form
    65,115.38/89,859.76 = 35,307.38/x
  3. Step 3: Cross multiply
    65,115.38x = 89,859.76 × 35,307.38
  4. Step 4: Simplify right side
    65,115.38x = 3,172,712,243.73
  5. Step 5: Solve for x
    x = 3,172,712,243.73/65,115.38
  6. Step 6: Final answer
    x = 48,724.47

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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.