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Finding the Fourth Proportional to 97,766.65, 146,642.68 and 33,718.53

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Solution

The fourth proportional to 97,766.65, 146,642.68 and 33,718.53 is: 50,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,766.65 : 146,642.68 = 33,718.53 : x
  2. Step 2: Convert to fraction form
    97,766.65/146,642.68 = 33,718.53/x
  3. Step 3: Cross multiply
    97,766.65x = 146,642.68 × 33,718.53
  4. Step 4: Simplify right side
    97,766.65x = 4,944,575,604.86
  5. Step 5: Solve for x
    x = 4,944,575,604.86/97,766.65
  6. Step 6: Final answer
    x = 50,575.28

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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.