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Finding the Fourth Proportional to 65,926.37, 90,978.17 and 35,711.61

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Solution

The fourth proportional to 65,926.37, 90,978.17 and 35,711.61 is: 49,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,926.37 : 90,978.17 = 35,711.61 : x
  2. Step 2: Convert to fraction form
    65,926.37/90,978.17 = 35,711.61/x
  3. Step 3: Cross multiply
    65,926.37x = 90,978.17 × 35,711.61
  4. Step 4: Simplify right side
    65,926.37x = 3,248,976,747.00
  5. Step 5: Solve for x
    x = 3,248,976,747.00/65,926.37
  6. Step 6: Final answer
    x = 49,281.90

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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.