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Finding the Fourth Proportional to 107,718.09, 161,502.18 and 47,713.99

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Solution

The fourth proportional to 107,718.09, 161,502.18 and 47,713.99 is: 71,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,718.09 : 161,502.18 = 47,713.99 : x
  2. Step 2: Convert to fraction form
    107,718.09/161,502.18 = 47,713.99/x
  3. Step 3: Cross multiply
    107,718.09x = 161,502.18 × 47,713.99
  4. Step 4: Simplify right side
    107,718.09x = 7,705,913,401.50
  5. Step 5: Solve for x
    x = 7,705,913,401.50/107,718.09
  6. Step 6: Final answer
    x = 71,537.78

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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.