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Finding the Fourth Proportional to 65,147.32, 89,872.14 and 37,923.40

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Solution

The fourth proportional to 65,147.32, 89,872.14 and 37,923.40 is: 52,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,147.32 : 89,872.14 = 37,923.40 : x
  2. Step 2: Convert to fraction form
    65,147.32/89,872.14 = 37,923.40/x
  3. Step 3: Cross multiply
    65,147.32x = 89,872.14 × 37,923.40
  4. Step 4: Simplify right side
    65,147.32x = 3,408,257,114.08
  5. Step 5: Solve for x
    x = 3,408,257,114.08/65,147.32
  6. Step 6: Final answer
    x = 52,316.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.