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Finding the Fourth Proportional to 71,574.03, 107,362.13 and 24,827.85

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Solution

The fourth proportional to 71,574.03, 107,362.13 and 24,827.85 is: 37,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574.03 : 107,362.13 = 24,827.85 : x
  2. Step 2: Convert to fraction form
    71,574.03/107,362.13 = 24,827.85/x
  3. Step 3: Cross multiply
    71,574.03x = 107,362.13 × 24,827.85
  4. Step 4: Simplify right side
    71,574.03x = 2,665,570,735.18
  5. Step 5: Solve for x
    x = 2,665,570,735.18/71,574.03
  6. Step 6: Final answer
    x = 37,242.15

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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.