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Finding the Fourth Proportional to 31,123.80, 46,685.70 and 25,656.30

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Solution

The fourth proportional to 31,123.80, 46,685.70 and 25,656.30 is: 38,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,123.80 : 46,685.70 = 25,656.30 : x
  2. Step 2: Convert to fraction form
    31,123.80/46,685.70 = 25,656.30/x
  3. Step 3: Cross multiply
    31,123.80x = 46,685.70 × 25,656.30
  4. Step 4: Simplify right side
    31,123.80x = 1,197,782,324.91
  5. Step 5: Solve for x
    x = 1,197,782,324.91/31,123.80
  6. Step 6: Final answer
    x = 38,484.45

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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.