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Finding the Fourth Proportional to 38,009.60, 57,014.40 and 29,261.60

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Solution

The fourth proportional to 38,009.60, 57,014.40 and 29,261.60 is: 43,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.60 : 57,014.40 = 29,261.60 : x
  2. Step 2: Convert to fraction form
    38,009.60/57,014.40 = 29,261.60/x
  3. Step 3: Cross multiply
    38,009.60x = 57,014.40 × 29,261.60
  4. Step 4: Simplify right side
    38,009.60x = 1,668,332,567.04
  5. Step 5: Solve for x
    x = 1,668,332,567.04/38,009.60
  6. Step 6: Final answer
    x = 43,892.40

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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.