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Finding the Fourth Proportional to 54,529.38, 75,247.92 and 30,658.32

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Solution

The fourth proportional to 54,529.38, 75,247.92 and 30,658.32 is: 42,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,529.38 : 75,247.92 = 30,658.32 : x
  2. Step 2: Convert to fraction form
    54,529.38/75,247.92 = 30,658.32/x
  3. Step 3: Cross multiply
    54,529.38x = 75,247.92 × 30,658.32
  4. Step 4: Simplify right side
    54,529.38x = 2,306,974,810.69
  5. Step 5: Solve for x
    x = 2,306,974,810.69/54,529.38
  6. Step 6: Final answer
    x = 42,307.01

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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.