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Finding the Fourth Proportional to 91,853, 137,651.14 and 49,642.08

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Solution

The fourth proportional to 91,853, 137,651.14 and 49,642.08 is: 74,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,853 : 137,651.14 = 49,642.08 : x
  2. Step 2: Convert to fraction form
    91,853/137,651.14 = 49,642.08/x
  3. Step 3: Cross multiply
    91,853x = 137,651.14 × 49,642.08
  4. Step 4: Simplify right side
    91,853x = 6,833,288,903.97
  5. Step 5: Solve for x
    x = 6,833,288,903.97/91,853
  6. Step 6: Final answer
    x = 74,393.75

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Why These Related Problems?

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