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Finding the Fourth Proportional to 65,267.82, 97,689.92 and 35,240.31

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Solution

The fourth proportional to 65,267.82, 97,689.92 and 35,240.31 is: 52,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,267.82 : 97,689.92 = 35,240.31 : x
  2. Step 2: Convert to fraction form
    65,267.82/97,689.92 = 35,240.31/x
  3. Step 3: Cross multiply
    65,267.82x = 97,689.92 × 35,240.31
  4. Step 4: Simplify right side
    65,267.82x = 3,442,622,888.47
  5. Step 5: Solve for x
    x = 3,442,622,888.47/65,267.82
  6. Step 6: Final answer
    x = 52,746.10

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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.