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Finding the Fourth Proportional to 65,422.80, 98,033.40 and 48,704.40

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Solution

The fourth proportional to 65,422.80, 98,033.40 and 48,704.40 is: 72,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,422.80 : 98,033.40 = 48,704.40 : x
  2. Step 2: Convert to fraction form
    65,422.80/98,033.40 = 48,704.40/x
  3. Step 3: Cross multiply
    65,422.80x = 98,033.40 × 48,704.40
  4. Step 4: Simplify right side
    65,422.80x = 4,774,657,926.96
  5. Step 5: Solve for x
    x = 4,774,657,926.96/65,422.80
  6. Step 6: Final answer
    x = 72,981.56

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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.