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Finding the Fourth Proportional to 31,726.50, 47,587.92 and 9,539.46

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Solution

The fourth proportional to 31,726.50, 47,587.92 and 9,539.46 is: 14,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726.50 : 47,587.92 = 9,539.46 : x
  2. Step 2: Convert to fraction form
    31,726.50/47,587.92 = 9,539.46/x
  3. Step 3: Cross multiply
    31,726.50x = 47,587.92 × 9,539.46
  4. Step 4: Simplify right side
    31,726.50x = 453,963,059.32
  5. Step 5: Solve for x
    x = 453,963,059.32/31,726.50
  6. Step 6: Final answer
    x = 14,308.64

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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.