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Finding the Fourth Proportional to 37,124.73, 55,686.42 and 9,045

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Solution

The fourth proportional to 37,124.73, 55,686.42 and 9,045 is: 13,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,124.73 : 55,686.42 = 9,045 : x
  2. Step 2: Convert to fraction form
    37,124.73/55,686.42 = 9,045/x
  3. Step 3: Cross multiply
    37,124.73x = 55,686.42 × 9,045
  4. Step 4: Simplify right side
    37,124.73x = 503,683,668.90
  5. Step 5: Solve for x
    x = 503,683,668.90/37,124.73
  6. Step 6: Final answer
    x = 13,567.34

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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.