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Finding the Fourth Proportional to 41,681.84, 62,509.70 and 12,101.72

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Solution

The fourth proportional to 41,681.84, 62,509.70 and 12,101.72 is: 18,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,681.84 : 62,509.70 = 12,101.72 : x
  2. Step 2: Convert to fraction form
    41,681.84/62,509.70 = 12,101.72/x
  3. Step 3: Cross multiply
    41,681.84x = 62,509.70 × 12,101.72
  4. Step 4: Simplify right side
    41,681.84x = 756,474,886.68
  5. Step 5: Solve for x
    x = 756,474,886.68/41,681.84
  6. Step 6: Final answer
    x = 18,148.79

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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.