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Finding the Fourth Proportional to 54,346.72, 75,000.36 and 31,700.20

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Solution

The fourth proportional to 54,346.72, 75,000.36 and 31,700.20 is: 43,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,346.72 : 75,000.36 = 31,700.20 : x
  2. Step 2: Convert to fraction form
    54,346.72/75,000.36 = 31,700.20/x
  3. Step 3: Cross multiply
    54,346.72x = 75,000.36 × 31,700.20
  4. Step 4: Simplify right side
    54,346.72x = 2,377,526,412.07
  5. Step 5: Solve for x
    x = 2,377,526,412.07/54,346.72
  6. Step 6: Final answer
    x = 43,747.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.