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Finding the Fourth Proportional to 65,264.96, 97,721.76 and 34,034.24

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Solution

The fourth proportional to 65,264.96, 97,721.76 and 34,034.24 is: 50,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,264.96 : 97,721.76 = 34,034.24 : x
  2. Step 2: Convert to fraction form
    65,264.96/97,721.76 = 34,034.24/x
  3. Step 3: Cross multiply
    65,264.96x = 97,721.76 × 34,034.24
  4. Step 4: Simplify right side
    65,264.96x = 3,325,885,833.06
  5. Step 5: Solve for x
    x = 3,325,885,833.06/65,264.96
  6. Step 6: Final answer
    x = 50,959.75

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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.