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Finding the Fourth Proportional to 68,538.80, 102,808.20 and 47,543.60

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Solution

The fourth proportional to 68,538.80, 102,808.20 and 47,543.60 is: 71,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538.80 : 102,808.20 = 47,543.60 : x
  2. Step 2: Convert to fraction form
    68,538.80/102,808.20 = 47,543.60/x
  3. Step 3: Cross multiply
    68,538.80x = 102,808.20 × 47,543.60
  4. Step 4: Simplify right side
    68,538.80x = 4,887,871,937.52
  5. Step 5: Solve for x
    x = 4,887,871,937.52/68,538.80
  6. Step 6: Final answer
    x = 71,315.40

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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.