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Finding the Fourth Proportional to 55,704.79, 83,591.21 and 24,123.30

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Solution

The fourth proportional to 55,704.79, 83,591.21 and 24,123.30 is: 36,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,704.79 : 83,591.21 = 24,123.30 : x
  2. Step 2: Convert to fraction form
    55,704.79/83,591.21 = 24,123.30/x
  3. Step 3: Cross multiply
    55,704.79x = 83,591.21 × 24,123.30
  4. Step 4: Simplify right side
    55,704.79x = 2,016,495,836.19
  5. Step 5: Solve for x
    x = 2,016,495,836.19/55,704.79
  6. Step 6: Final answer
    x = 36,199.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.