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Finding the Fourth Proportional to 64,822.60, 97,331.10 and 45,188.20

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Solution

The fourth proportional to 64,822.60, 97,331.10 and 45,188.20 is: 67,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.60 : 97,331.10 = 45,188.20 : x
  2. Step 2: Convert to fraction form
    64,822.60/97,331.10 = 45,188.20/x
  3. Step 3: Cross multiply
    64,822.60x = 97,331.10 × 45,188.20
  4. Step 4: Simplify right side
    64,822.60x = 4,398,217,213.02
  5. Step 5: Solve for x
    x = 4,398,217,213.02/64,822.60
  6. Step 6: Final answer
    x = 67,850.06

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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.