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Finding the Fourth Proportional to 99,463.86, 149,194.28 and 24,584

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Solution

The fourth proportional to 99,463.86, 149,194.28 and 24,584 is: 36,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,463.86 : 149,194.28 = 24,584 : x
  2. Step 2: Convert to fraction form
    99,463.86/149,194.28 = 24,584/x
  3. Step 3: Cross multiply
    99,463.86x = 149,194.28 × 24,584
  4. Step 4: Simplify right side
    99,463.86x = 3,667,792,179.52
  5. Step 5: Solve for x
    x = 3,667,792,179.52/99,463.86
  6. Step 6: Final answer
    x = 36,875.63

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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.