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Finding the Fourth Proportional to 65,856.80, 98,671.80 and 30,724.40

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Solution

The fourth proportional to 65,856.80, 98,671.80 and 30,724.40 is: 46,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,856.80 : 98,671.80 = 30,724.40 : x
  2. Step 2: Convert to fraction form
    65,856.80/98,671.80 = 30,724.40/x
  3. Step 3: Cross multiply
    65,856.80x = 98,671.80 × 30,724.40
  4. Step 4: Simplify right side
    65,856.80x = 3,031,631,851.92
  5. Step 5: Solve for x
    x = 3,031,631,851.92/65,856.80
  6. Step 6: Final answer
    x = 46,033.70

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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.