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Finding the Fourth Proportional to 127,537.60, 191,306.40 and 32,767.60

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Solution

The fourth proportional to 127,537.60, 191,306.40 and 32,767.60 is: 49,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,537.60 : 191,306.40 = 32,767.60 : x
  2. Step 2: Convert to fraction form
    127,537.60/191,306.40 = 32,767.60/x
  3. Step 3: Cross multiply
    127,537.60x = 191,306.40 × 32,767.60
  4. Step 4: Simplify right side
    127,537.60x = 6,268,651,592.64
  5. Step 5: Solve for x
    x = 6,268,651,592.64/127,537.60
  6. Step 6: Final answer
    x = 49,151.40

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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.