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Finding the Fourth Proportional to 65,062.50, 89,786.31 and 35,254.50

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Solution

The fourth proportional to 65,062.50, 89,786.31 and 35,254.50 is: 48,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,062.50 : 89,786.31 = 35,254.50 : x
  2. Step 2: Convert to fraction form
    65,062.50/89,786.31 = 35,254.50/x
  3. Step 3: Cross multiply
    65,062.50x = 89,786.31 × 35,254.50
  4. Step 4: Simplify right side
    65,062.50x = 3,165,371,465.90
  5. Step 5: Solve for x
    x = 3,165,371,465.90/65,062.50
  6. Step 6: Final answer
    x = 48,651.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.