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Finding the Fourth Proportional to 97,846.65, 146,811.75 and 41,713.19

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Solution

The fourth proportional to 97,846.65, 146,811.75 and 41,713.19 is: 62,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,846.65 : 146,811.75 = 41,713.19 : x
  2. Step 2: Convert to fraction form
    97,846.65/146,811.75 = 41,713.19/x
  3. Step 3: Cross multiply
    97,846.65x = 146,811.75 × 41,713.19
  4. Step 4: Simplify right side
    97,846.65x = 6,123,985,687.92
  5. Step 5: Solve for x
    x = 6,123,985,687.92/97,846.65
  6. Step 6: Final answer
    x = 62,587.59

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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.