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Finding the Fourth Proportional to 65,122.32, 89,880.48 and 38,265.84

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Solution

The fourth proportional to 65,122.32, 89,880.48 and 38,265.84 is: 52,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122.32 : 89,880.48 = 38,265.84 : x
  2. Step 2: Convert to fraction form
    65,122.32/89,880.48 = 38,265.84/x
  3. Step 3: Cross multiply
    65,122.32x = 89,880.48 × 38,265.84
  4. Step 4: Simplify right side
    65,122.32x = 3,439,352,066.80
  5. Step 5: Solve for x
    x = 3,439,352,066.80/65,122.32
  6. Step 6: Final answer
    x = 52,813.72

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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.