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Finding the Fourth Proportional to 38,134.44, 57,201.48 and 9,671.40

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Solution

The fourth proportional to 38,134.44, 57,201.48 and 9,671.40 is: 14,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,134.44 : 57,201.48 = 9,671.40 : x
  2. Step 2: Convert to fraction form
    38,134.44/57,201.48 = 9,671.40/x
  3. Step 3: Cross multiply
    38,134.44x = 57,201.48 × 9,671.40
  4. Step 4: Simplify right side
    38,134.44x = 553,218,393.67
  5. Step 5: Solve for x
    x = 553,218,393.67/38,134.44
  6. Step 6: Final answer
    x = 14,507.05

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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.