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Finding the Fourth Proportional to 31,352.52, 47,026.80 and 14,716.20

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Solution

The fourth proportional to 31,352.52, 47,026.80 and 14,716.20 is: 22,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.52 : 47,026.80 = 14,716.20 : x
  2. Step 2: Convert to fraction form
    31,352.52/47,026.80 = 14,716.20/x
  3. Step 3: Cross multiply
    31,352.52x = 47,026.80 × 14,716.20
  4. Step 4: Simplify right side
    31,352.52x = 692,055,794.16
  5. Step 5: Solve for x
    x = 692,055,794.16/31,352.52
  6. Step 6: Final answer
    x = 22,073.37

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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.