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Finding the Fourth Proportional to 58,132.16, 80,201.80 and 38,000.64

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Solution

The fourth proportional to 58,132.16, 80,201.80 and 38,000.64 is: 52,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,132.16 : 80,201.80 = 38,000.64 : x
  2. Step 2: Convert to fraction form
    58,132.16/80,201.80 = 38,000.64/x
  3. Step 3: Cross multiply
    58,132.16x = 80,201.80 × 38,000.64
  4. Step 4: Simplify right side
    58,132.16x = 3,047,719,729.15
  5. Step 5: Solve for x
    x = 3,047,719,729.15/58,132.16
  6. Step 6: Final answer
    x = 52,427.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.