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Finding the Fourth Proportional to 106,743.78, 160,132.95 and 32,854.50

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Solution

The fourth proportional to 106,743.78, 160,132.95 and 32,854.50 is: 49,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,743.78 : 160,132.95 = 32,854.50 : x
  2. Step 2: Convert to fraction form
    106,743.78/160,132.95 = 32,854.50/x
  3. Step 3: Cross multiply
    106,743.78x = 160,132.95 × 32,854.50
  4. Step 4: Simplify right side
    106,743.78x = 5,261,088,005.78
  5. Step 5: Solve for x
    x = 5,261,088,005.78/106,743.78
  6. Step 6: Final answer
    x = 49,287.07

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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.