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Finding the Fourth Proportional to 42,677.20, 64,025.40 and 13,096.40

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Solution

The fourth proportional to 42,677.20, 64,025.40 and 13,096.40 is: 19,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,677.20 : 64,025.40 = 13,096.40 : x
  2. Step 2: Convert to fraction form
    42,677.20/64,025.40 = 13,096.40/x
  3. Step 3: Cross multiply
    42,677.20x = 64,025.40 × 13,096.40
  4. Step 4: Simplify right side
    42,677.20x = 838,502,248.56
  5. Step 5: Solve for x
    x = 838,502,248.56/42,677.20
  6. Step 6: Final answer
    x = 19,647.55

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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.