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Finding the Fourth Proportional to 65,967.68, 91,155.94 and 48,031.44

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Solution

The fourth proportional to 65,967.68, 91,155.94 and 48,031.44 is: 66,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,967.68 : 91,155.94 = 48,031.44 : x
  2. Step 2: Convert to fraction form
    65,967.68/91,155.94 = 48,031.44/x
  3. Step 3: Cross multiply
    65,967.68x = 91,155.94 × 48,031.44
  4. Step 4: Simplify right side
    65,967.68x = 4,378,351,062.75
  5. Step 5: Solve for x
    x = 4,378,351,062.75/65,967.68
  6. Step 6: Final answer
    x = 66,371.15

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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.