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Finding the Fourth Proportional to 49,431, 74,174.88 and 49,029.78

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Solution

The fourth proportional to 49,431, 74,174.88 and 49,029.78 is: 73,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,431 : 74,174.88 = 49,029.78 : x
  2. Step 2: Convert to fraction form
    49,431/74,174.88 = 49,029.78/x
  3. Step 3: Cross multiply
    49,431x = 74,174.88 × 49,029.78
  4. Step 4: Simplify right side
    49,431x = 3,636,778,047.93
  5. Step 5: Solve for x
    x = 3,636,778,047.93/49,431
  6. Step 6: Final answer
    x = 73,572.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.