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Finding the Fourth Proportional to 65,132.84, 89,854.78 and 38,263.23

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Solution

The fourth proportional to 65,132.84, 89,854.78 and 38,263.23 is: 52,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,132.84 : 89,854.78 = 38,263.23 : x
  2. Step 2: Convert to fraction form
    65,132.84/89,854.78 = 38,263.23/x
  3. Step 3: Cross multiply
    65,132.84x = 89,854.78 × 38,263.23
  4. Step 4: Simplify right side
    65,132.84x = 3,438,134,113.74
  5. Step 5: Solve for x
    x = 3,438,134,113.74/65,132.84
  6. Step 6: Final answer
    x = 52,786.49

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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.