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Finding the Fourth Proportional to 44,032.81, 65,966.18 and 34,123.66

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Solution

The fourth proportional to 44,032.81, 65,966.18 and 34,123.66 is: 51,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,032.81 : 65,966.18 = 34,123.66 : x
  2. Step 2: Convert to fraction form
    44,032.81/65,966.18 = 34,123.66/x
  3. Step 3: Cross multiply
    44,032.81x = 65,966.18 × 34,123.66
  4. Step 4: Simplify right side
    44,032.81x = 2,251,007,497.82
  5. Step 5: Solve for x
    x = 2,251,007,497.82/44,032.81
  6. Step 6: Final answer
    x = 51,121.14

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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.