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Finding the Fourth Proportional to 49,431, 74,155.82 and 19,851.16

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Solution

The fourth proportional to 49,431, 74,155.82 and 19,851.16 is: 29,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,431 : 74,155.82 = 19,851.16 : x
  2. Step 2: Convert to fraction form
    49,431/74,155.82 = 19,851.16/x
  3. Step 3: Cross multiply
    49,431x = 74,155.82 × 19,851.16
  4. Step 4: Simplify right side
    49,431x = 1,472,079,047.75
  5. Step 5: Solve for x
    x = 1,472,079,047.75/49,431
  6. Step 6: Final answer
    x = 29,780.48

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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.