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Finding the Fourth Proportional to 52,141.70, 78,193.11 and 27,171.02

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Solution

The fourth proportional to 52,141.70, 78,193.11 and 27,171.02 is: 40,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,141.70 : 78,193.11 = 27,171.02 : x
  2. Step 2: Convert to fraction form
    52,141.70/78,193.11 = 27,171.02/x
  3. Step 3: Cross multiply
    52,141.70x = 78,193.11 × 27,171.02
  4. Step 4: Simplify right side
    52,141.70x = 2,124,586,555.67
  5. Step 5: Solve for x
    x = 2,124,586,555.67/52,141.70
  6. Step 6: Final answer
    x = 40,746.40

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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.