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Finding the Fourth Proportional to 65,356.38, 97,876.62 and 37,191.12

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Solution

The fourth proportional to 65,356.38, 97,876.62 and 37,191.12 is: 55,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,356.38 : 97,876.62 = 37,191.12 : x
  2. Step 2: Convert to fraction form
    65,356.38/97,876.62 = 37,191.12/x
  3. Step 3: Cross multiply
    65,356.38x = 97,876.62 × 37,191.12
  4. Step 4: Simplify right side
    65,356.38x = 3,640,141,119.61
  5. Step 5: Solve for x
    x = 3,640,141,119.61/65,356.38
  6. Step 6: Final answer
    x = 55,696.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.