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Finding the Fourth Proportional to 37,708, 56,562 and 10,006.24

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Solution

The fourth proportional to 37,708, 56,562 and 10,006.24 is: 15,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,708 : 56,562 = 10,006.24 : x
  2. Step 2: Convert to fraction form
    37,708/56,562 = 10,006.24/x
  3. Step 3: Cross multiply
    37,708x = 56,562 × 10,006.24
  4. Step 4: Simplify right side
    37,708x = 565,972,946.88
  5. Step 5: Solve for x
    x = 565,972,946.88/37,708
  6. Step 6: Final answer
    x = 15,009.36

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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.