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Finding the Fourth Proportional to 65,730.96, 98,621.28 and 39,454.02

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Solution

The fourth proportional to 65,730.96, 98,621.28 and 39,454.02 is: 59,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,730.96 : 98,621.28 = 39,454.02 : x
  2. Step 2: Convert to fraction form
    65,730.96/98,621.28 = 39,454.02/x
  3. Step 3: Cross multiply
    65,730.96x = 98,621.28 × 39,454.02
  4. Step 4: Simplify right side
    65,730.96x = 3,891,005,953.55
  5. Step 5: Solve for x
    x = 3,891,005,953.55/65,730.96
  6. Step 6: Final answer
    x = 59,195.94

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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.