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Finding the Fourth Proportional to 54,823.46, 75,658.34 and 30,954.38

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Solution

The fourth proportional to 54,823.46, 75,658.34 and 30,954.38 is: 42,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,823.46 : 75,658.34 = 30,954.38 : x
  2. Step 2: Convert to fraction form
    54,823.46/75,658.34 = 30,954.38/x
  3. Step 3: Cross multiply
    54,823.46x = 75,658.34 × 30,954.38
  4. Step 4: Simplify right side
    54,823.46x = 2,341,957,006.53
  5. Step 5: Solve for x
    x = 2,341,957,006.53/54,823.46
  6. Step 6: Final answer
    x = 42,718.15

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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.