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Finding the Fourth Proportional to 52,509.70, 78,753.70 and 15,061.44

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Solution

The fourth proportional to 52,509.70, 78,753.70 and 15,061.44 is: 22,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.70 : 78,753.70 = 15,061.44 : x
  2. Step 2: Convert to fraction form
    52,509.70/78,753.70 = 15,061.44/x
  3. Step 3: Cross multiply
    52,509.70x = 78,753.70 × 15,061.44
  4. Step 4: Simplify right side
    52,509.70x = 1,186,144,441.48
  5. Step 5: Solve for x
    x = 1,186,144,441.48/52,509.70
  6. Step 6: Final answer
    x = 22,589.05

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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.