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Finding the Fourth Proportional to 42,678.60, 64,022.70 and 13,096.20

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Solution

The fourth proportional to 42,678.60, 64,022.70 and 13,096.20 is: 19,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,678.60 : 64,022.70 = 13,096.20 : x
  2. Step 2: Convert to fraction form
    42,678.60/64,022.70 = 13,096.20/x
  3. Step 3: Cross multiply
    42,678.60x = 64,022.70 × 13,096.20
  4. Step 4: Simplify right side
    42,678.60x = 838,454,083.74
  5. Step 5: Solve for x
    x = 838,454,083.74/42,678.60
  6. Step 6: Final answer
    x = 19,645.77

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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.