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Finding the Fourth Proportional to 74,211.84, 111,329.28 and 24,960

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Solution

The fourth proportional to 74,211.84, 111,329.28 and 24,960 is: 37,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,211.84 : 111,329.28 = 24,960 : x
  2. Step 2: Convert to fraction form
    74,211.84/111,329.28 = 24,960/x
  3. Step 3: Cross multiply
    74,211.84x = 111,329.28 × 24,960
  4. Step 4: Simplify right side
    74,211.84x = 2,778,778,828.80
  5. Step 5: Solve for x
    x = 2,778,778,828.80/74,211.84
  6. Step 6: Final answer
    x = 37,443.87

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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.