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Finding the Fourth Proportional to 65,125.48, 89,876.47 and 38,276.64

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Solution

The fourth proportional to 65,125.48, 89,876.47 and 38,276.64 is: 52,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125.48 : 89,876.47 = 38,276.64 : x
  2. Step 2: Convert to fraction form
    65,125.48/89,876.47 = 38,276.64/x
  3. Step 3: Cross multiply
    65,125.48x = 89,876.47 × 38,276.64
  4. Step 4: Simplify right side
    65,125.48x = 3,440,169,297.83
  5. Step 5: Solve for x
    x = 3,440,169,297.83/65,125.48
  6. Step 6: Final answer
    x = 52,823.71

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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.