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Finding the Fourth Proportional to 91,852.93, 137,651.10 and 49,642.03

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Solution

The fourth proportional to 91,852.93, 137,651.10 and 49,642.03 is: 74,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,852.93 : 137,651.10 = 49,642.03 : x
  2. Step 2: Convert to fraction form
    91,852.93/137,651.10 = 49,642.03/x
  3. Step 3: Cross multiply
    91,852.93x = 137,651.10 × 49,642.03
  4. Step 4: Simplify right side
    91,852.93x = 6,833,280,035.73
  5. Step 5: Solve for x
    x = 6,833,280,035.73/91,852.93
  6. Step 6: Final answer
    x = 74,393.71

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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.