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Finding the Fourth Proportional to 47,123.80, 65,061.30 and 31,229.80

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Solution

The fourth proportional to 47,123.80, 65,061.30 and 31,229.80 is: 43,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,123.80 : 65,061.30 = 31,229.80 : x
  2. Step 2: Convert to fraction form
    47,123.80/65,061.30 = 31,229.80/x
  3. Step 3: Cross multiply
    47,123.80x = 65,061.30 × 31,229.80
  4. Step 4: Simplify right side
    47,123.80x = 2,031,851,386.74
  5. Step 5: Solve for x
    x = 2,031,851,386.74/47,123.80
  6. Step 6: Final answer
    x = 43,117.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.