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Finding the Fourth Proportional to 49,387.48, 68,177.22 and 31,507

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Solution

The fourth proportional to 49,387.48, 68,177.22 and 31,507 is: 43,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,387.48 : 68,177.22 = 31,507 : x
  2. Step 2: Convert to fraction form
    49,387.48/68,177.22 = 31,507/x
  3. Step 3: Cross multiply
    49,387.48x = 68,177.22 × 31,507
  4. Step 4: Simplify right side
    49,387.48x = 2,148,059,670.54
  5. Step 5: Solve for x
    x = 2,148,059,670.54/49,387.48
  6. Step 6: Final answer
    x = 43,494.01

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