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Finding the Fourth Proportional to 65,176.20, 89,937.81 and 38,319.84

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Solution

The fourth proportional to 65,176.20, 89,937.81 and 38,319.84 is: 52,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176.20 : 89,937.81 = 38,319.84 : x
  2. Step 2: Convert to fraction form
    65,176.20/89,937.81 = 38,319.84/x
  3. Step 3: Cross multiply
    65,176.20x = 89,937.81 × 38,319.84
  4. Step 4: Simplify right side
    65,176.20x = 3,446,402,489.15
  5. Step 5: Solve for x
    x = 3,446,402,489.15/65,176.20
  6. Step 6: Final answer
    x = 52,878.24

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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.