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Finding the Fourth Proportional to 31,666.98, 47,500.38 and 9,480.36

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Solution

The fourth proportional to 31,666.98, 47,500.38 and 9,480.36 is: 14,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.98 : 47,500.38 = 9,480.36 : x
  2. Step 2: Convert to fraction form
    31,666.98/47,500.38 = 9,480.36/x
  3. Step 3: Cross multiply
    31,666.98x = 47,500.38 × 9,480.36
  4. Step 4: Simplify right side
    31,666.98x = 450,320,702.54
  5. Step 5: Solve for x
    x = 450,320,702.54/31,666.98
  6. Step 6: Final answer
    x = 14,220.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.