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Finding the Fourth Proportional to 52,285.53, 78,430.14 and 16,747.93

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Solution

The fourth proportional to 52,285.53, 78,430.14 and 16,747.93 is: 25,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,285.53 : 78,430.14 = 16,747.93 : x
  2. Step 2: Convert to fraction form
    52,285.53/78,430.14 = 16,747.93/x
  3. Step 3: Cross multiply
    52,285.53x = 78,430.14 × 16,747.93
  4. Step 4: Simplify right side
    52,285.53x = 1,313,542,494.61
  5. Step 5: Solve for x
    x = 1,313,542,494.61/52,285.53
  6. Step 6: Final answer
    x = 25,122.49

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1.5x scale

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.