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Finding the Fourth Proportional to 82,353.68, 123,530.52 and 20,024

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Solution

The fourth proportional to 82,353.68, 123,530.52 and 20,024 is: 30,036.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,353.68 : 123,530.52 = 20,024 : x
  2. Step 2: Convert to fraction form
    82,353.68/123,530.52 = 20,024/x
  3. Step 3: Cross multiply
    82,353.68x = 123,530.52 × 20,024
  4. Step 4: Simplify right side
    82,353.68x = 2,473,575,132.48
  5. Step 5: Solve for x
    x = 2,473,575,132.48/82,353.68
  6. Step 6: Final answer
    x = 30,036.00

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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.