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Finding the Fourth Proportional to 84,013.30, 126,056.40 and 42,460.30

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Solution

The fourth proportional to 84,013.30, 126,056.40 and 42,460.30 is: 63,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,013.30 : 126,056.40 = 42,460.30 : x
  2. Step 2: Convert to fraction form
    84,013.30/126,056.40 = 42,460.30/x
  3. Step 3: Cross multiply
    84,013.30x = 126,056.40 × 42,460.30
  4. Step 4: Simplify right side
    84,013.30x = 5,352,392,560.92
  5. Step 5: Solve for x
    x = 5,352,392,560.92/84,013.30
  6. Step 6: Final answer
    x = 63,708.87

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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.