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Finding the Fourth Proportional to 71,635.96, 106,928.15 and 66,358

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Solution

The fourth proportional to 71,635.96, 106,928.15 and 66,358 is: 99,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,635.96 : 106,928.15 = 66,358 : x
  2. Step 2: Convert to fraction form
    71,635.96/106,928.15 = 66,358/x
  3. Step 3: Cross multiply
    71,635.96x = 106,928.15 × 66,358
  4. Step 4: Simplify right side
    71,635.96x = 7,095,538,177.70
  5. Step 5: Solve for x
    x = 7,095,538,177.70/71,635.96
  6. Step 6: Final answer
    x = 99,049.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.