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Finding the Fourth Proportional to 52,184.52, 78,250.52 and 25,532.50

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Solution

The fourth proportional to 52,184.52, 78,250.52 and 25,532.50 is: 38,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,184.52 : 78,250.52 = 25,532.50 : x
  2. Step 2: Convert to fraction form
    52,184.52/78,250.52 = 25,532.50/x
  3. Step 3: Cross multiply
    52,184.52x = 78,250.52 × 25,532.50
  4. Step 4: Simplify right side
    52,184.52x = 1,997,931,401.90
  5. Step 5: Solve for x
    x = 1,997,931,401.90/52,184.52
  6. Step 6: Final answer
    x = 38,285.90

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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.