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Finding the Fourth Proportional to 36,545.64, 54,814.12 and 10,252.48

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Solution

The fourth proportional to 36,545.64, 54,814.12 and 10,252.48 is: 15,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,545.64 : 54,814.12 = 10,252.48 : x
  2. Step 2: Convert to fraction form
    36,545.64/54,814.12 = 10,252.48/x
  3. Step 3: Cross multiply
    36,545.64x = 54,814.12 × 10,252.48
  4. Step 4: Simplify right side
    36,545.64x = 561,980,669.02
  5. Step 5: Solve for x
    x = 561,980,669.02/36,545.64
  6. Step 6: Final answer
    x = 15,377.50

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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.