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Finding the Fourth Proportional to 65,111.16, 89,864.91 and 38,253.66

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Solution

The fourth proportional to 65,111.16, 89,864.91 and 38,253.66 is: 52,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,111.16 : 89,864.91 = 38,253.66 : x
  2. Step 2: Convert to fraction form
    65,111.16/89,864.91 = 38,253.66/x
  3. Step 3: Cross multiply
    65,111.16x = 89,864.91 × 38,253.66
  4. Step 4: Simplify right side
    65,111.16x = 3,437,661,713.07
  5. Step 5: Solve for x
    x = 3,437,661,713.07/65,111.16
  6. Step 6: Final answer
    x = 52,796.81

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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.