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Finding the Fourth Proportional to 31,420.24, 47,092.01 and 14,758.02

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Solution

The fourth proportional to 31,420.24, 47,092.01 and 14,758.02 is: 22,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.24 : 47,092.01 = 14,758.02 : x
  2. Step 2: Convert to fraction form
    31,420.24/47,092.01 = 14,758.02/x
  3. Step 3: Cross multiply
    31,420.24x = 47,092.01 × 14,758.02
  4. Step 4: Simplify right side
    31,420.24x = 694,984,751.63
  5. Step 5: Solve for x
    x = 694,984,751.63/31,420.24
  6. Step 6: Final answer
    x = 22,119.02

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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.