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Finding the Fourth Proportional to 52,978.72, 73,098.03 and 30,008.74

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Solution

The fourth proportional to 52,978.72, 73,098.03 and 30,008.74 is: 41,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,978.72 : 73,098.03 = 30,008.74 : x
  2. Step 2: Convert to fraction form
    52,978.72/73,098.03 = 30,008.74/x
  3. Step 3: Cross multiply
    52,978.72x = 73,098.03 × 30,008.74
  4. Step 4: Simplify right side
    52,978.72x = 2,193,579,776.78
  5. Step 5: Solve for x
    x = 2,193,579,776.78/52,978.72
  6. Step 6: Final answer
    x = 41,404.92

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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.