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Finding the Fourth Proportional to 31,509.74, 47,262.02 and 10,442.90

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Solution

The fourth proportional to 31,509.74, 47,262.02 and 10,442.90 is: 15,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.74 : 47,262.02 = 10,442.90 : x
  2. Step 2: Convert to fraction form
    31,509.74/47,262.02 = 10,442.90/x
  3. Step 3: Cross multiply
    31,509.74x = 47,262.02 × 10,442.90
  4. Step 4: Simplify right side
    31,509.74x = 493,552,614.60
  5. Step 5: Solve for x
    x = 493,552,614.60/31,509.74
  6. Step 6: Final answer
    x = 15,663.49

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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.