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Finding the Fourth Proportional to 74,585.84, 111,852.12 and 24,656.72

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Solution

The fourth proportional to 74,585.84, 111,852.12 and 24,656.72 is: 36,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,585.84 : 111,852.12 = 24,656.72 : x
  2. Step 2: Convert to fraction form
    74,585.84/111,852.12 = 24,656.72/x
  3. Step 3: Cross multiply
    74,585.84x = 111,852.12 × 24,656.72
  4. Step 4: Simplify right side
    74,585.84x = 2,757,906,404.25
  5. Step 5: Solve for x
    x = 2,757,906,404.25/74,585.84
  6. Step 6: Final answer
    x = 36,976.27

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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.