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Finding the Fourth Proportional to 72,798.55, 109,202.82 and 24,747.61

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Solution

The fourth proportional to 72,798.55, 109,202.82 and 24,747.61 is: 37,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,798.55 : 109,202.82 = 24,747.61 : x
  2. Step 2: Convert to fraction form
    72,798.55/109,202.82 = 24,747.61/x
  3. Step 3: Cross multiply
    72,798.55x = 109,202.82 × 24,747.61
  4. Step 4: Simplify right side
    72,798.55x = 2,702,508,130.51
  5. Step 5: Solve for x
    x = 2,702,508,130.51/72,798.55
  6. Step 6: Final answer
    x = 37,123.10

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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.