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Finding the Fourth Proportional to 65,108.16, 89,838.56 and 36,810

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Solution

The fourth proportional to 65,108.16, 89,838.56 and 36,810 is: 50,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,108.16 : 89,838.56 = 36,810 : x
  2. Step 2: Convert to fraction form
    65,108.16/89,838.56 = 36,810/x
  3. Step 3: Cross multiply
    65,108.16x = 89,838.56 × 36,810
  4. Step 4: Simplify right side
    65,108.16x = 3,306,957,393.60
  5. Step 5: Solve for x
    x = 3,306,957,393.60/65,108.16
  6. Step 6: Final answer
    x = 50,791.75

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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.