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Finding the Fourth Proportional to 31,473.72, 47,177.52 and 15,858.60

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Solution

The fourth proportional to 31,473.72, 47,177.52 and 15,858.60 is: 23,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473.72 : 47,177.52 = 15,858.60 : x
  2. Step 2: Convert to fraction form
    31,473.72/47,177.52 = 15,858.60/x
  3. Step 3: Cross multiply
    31,473.72x = 47,177.52 × 15,858.60
  4. Step 4: Simplify right side
    31,473.72x = 748,169,418.67
  5. Step 5: Solve for x
    x = 748,169,418.67/31,473.72
  6. Step 6: Final answer
    x = 23,771.24

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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.