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Finding the Fourth Proportional to 82,362.42, 123,543.72 and 20,032.92

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Solution

The fourth proportional to 82,362.42, 123,543.72 and 20,032.92 is: 30,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,362.42 : 123,543.72 = 20,032.92 : x
  2. Step 2: Convert to fraction form
    82,362.42/123,543.72 = 20,032.92/x
  3. Step 3: Cross multiply
    82,362.42x = 123,543.72 × 20,032.92
  4. Step 4: Simplify right side
    82,362.42x = 2,474,941,459.26
  5. Step 5: Solve for x
    x = 2,474,941,459.26/82,362.42
  6. Step 6: Final answer
    x = 30,049.40

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1.5x scale

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.