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Finding the Fourth Proportional to 42,704.20, 64,065.90 and 13,123.40

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Solution

The fourth proportional to 42,704.20, 64,065.90 and 13,123.40 is: 19,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,704.20 : 64,065.90 = 13,123.40 : x
  2. Step 2: Convert to fraction form
    42,704.20/64,065.90 = 13,123.40/x
  3. Step 3: Cross multiply
    42,704.20x = 64,065.90 × 13,123.40
  4. Step 4: Simplify right side
    42,704.20x = 840,762,432.06
  5. Step 5: Solve for x
    x = 840,762,432.06/42,704.20
  6. Step 6: Final answer
    x = 19,688.05

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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.