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Finding the Fourth Proportional to 31,507.92, 47,255.37 and 14,860.80

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Solution

The fourth proportional to 31,507.92, 47,255.37 and 14,860.80 is: 22,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.92 : 47,255.37 = 14,860.80 : x
  2. Step 2: Convert to fraction form
    31,507.92/47,255.37 = 14,860.80/x
  3. Step 3: Cross multiply
    31,507.92x = 47,255.37 × 14,860.80
  4. Step 4: Simplify right side
    31,507.92x = 702,252,602.50
  5. Step 5: Solve for x
    x = 702,252,602.50/31,507.92
  6. Step 6: Final answer
    x = 22,288.13

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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.