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Finding the Fourth Proportional to 36,762, 55,143.56 and 9,060

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Solution

The fourth proportional to 36,762, 55,143.56 and 9,060 is: 13,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,762 : 55,143.56 = 9,060 : x
  2. Step 2: Convert to fraction form
    36,762/55,143.56 = 9,060/x
  3. Step 3: Cross multiply
    36,762x = 55,143.56 × 9,060
  4. Step 4: Simplify right side
    36,762x = 499,600,653.60
  5. Step 5: Solve for x
    x = 499,600,653.60/36,762
  6. Step 6: Final answer
    x = 13,590.14

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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.