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Finding the Fourth Proportional to 65,200.74, 97,800.30 and 18,454.02

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Solution

The fourth proportional to 65,200.74, 97,800.30 and 18,454.02 is: 27,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.74 : 97,800.30 = 18,454.02 : x
  2. Step 2: Convert to fraction form
    65,200.74/97,800.30 = 18,454.02/x
  3. Step 3: Cross multiply
    65,200.74x = 97,800.30 × 18,454.02
  4. Step 4: Simplify right side
    65,200.74x = 1,804,808,692.21
  5. Step 5: Solve for x
    x = 1,804,808,692.21/65,200.74
  6. Step 6: Final answer
    x = 27,680.80

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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.