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Finding the Fourth Proportional to 38,207.60, 57,327.60 and 24,178.40

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Solution

The fourth proportional to 38,207.60, 57,327.60 and 24,178.40 is: 36,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,207.60 : 57,327.60 = 24,178.40 : x
  2. Step 2: Convert to fraction form
    38,207.60/57,327.60 = 24,178.40/x
  3. Step 3: Cross multiply
    38,207.60x = 57,327.60 × 24,178.40
  4. Step 4: Simplify right side
    38,207.60x = 1,386,089,643.84
  5. Step 5: Solve for x
    x = 1,386,089,643.84/38,207.60
  6. Step 6: Final answer
    x = 36,277.85

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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.