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Finding the Fourth Proportional to 109,861, 164,693.76 and 39,724.72

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Solution

The fourth proportional to 109,861, 164,693.76 and 39,724.72 is: 59,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,861 : 164,693.76 = 39,724.72 : x
  2. Step 2: Convert to fraction form
    109,861/164,693.76 = 39,724.72/x
  3. Step 3: Cross multiply
    109,861x = 164,693.76 × 39,724.72
  4. Step 4: Simplify right side
    109,861x = 6,542,413,501.75
  5. Step 5: Solve for x
    x = 6,542,413,501.75/109,861
  6. Step 6: Final answer
    x = 59,551.74

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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.