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Finding the Fourth Proportional to 52,430, 78,657.96 and 15,494

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Solution

The fourth proportional to 52,430, 78,657.96 and 15,494 is: 23,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,430 : 78,657.96 = 15,494 : x
  2. Step 2: Convert to fraction form
    52,430/78,657.96 = 15,494/x
  3. Step 3: Cross multiply
    52,430x = 78,657.96 × 15,494
  4. Step 4: Simplify right side
    52,430x = 1,218,726,432.24
  5. Step 5: Solve for x
    x = 1,218,726,432.24/52,430
  6. Step 6: Final answer
    x = 23,244.83

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Why These Related Problems?

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