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Finding the Fourth Proportional to 90,416.59, 135,632.28 and 45,414.80

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Solution

The fourth proportional to 90,416.59, 135,632.28 and 45,414.80 is: 68,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,416.59 : 135,632.28 = 45,414.80 : x
  2. Step 2: Convert to fraction form
    90,416.59/135,632.28 = 45,414.80/x
  3. Step 3: Cross multiply
    90,416.59x = 135,632.28 × 45,414.80
  4. Step 4: Simplify right side
    90,416.59x = 6,159,713,377.98
  5. Step 5: Solve for x
    x = 6,159,713,377.98/90,416.59
  6. Step 6: Final answer
    x = 68,125.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.