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Finding the Fourth Proportional to 54,337.50, 81,513.54 and 23,180.04

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Solution

The fourth proportional to 54,337.50, 81,513.54 and 23,180.04 is: 34,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,337.50 : 81,513.54 = 23,180.04 : x
  2. Step 2: Convert to fraction form
    54,337.50/81,513.54 = 23,180.04/x
  3. Step 3: Cross multiply
    54,337.50x = 81,513.54 × 23,180.04
  4. Step 4: Simplify right side
    54,337.50x = 1,889,487,117.74
  5. Step 5: Solve for x
    x = 1,889,487,117.74/54,337.50
  6. Step 6: Final answer
    x = 34,773.17

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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.