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Finding the Fourth Proportional to 71,675.75, 107,501.04 and 27,305.16

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Solution

The fourth proportional to 71,675.75, 107,501.04 and 27,305.16 is: 40,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,675.75 : 107,501.04 = 27,305.16 : x
  2. Step 2: Convert to fraction form
    71,675.75/107,501.04 = 27,305.16/x
  3. Step 3: Cross multiply
    71,675.75x = 107,501.04 × 27,305.16
  4. Step 4: Simplify right side
    71,675.75x = 2,935,333,199.76
  5. Step 5: Solve for x
    x = 2,935,333,199.76/71,675.75
  6. Step 6: Final answer
    x = 40,952.95

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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.