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Finding the Fourth Proportional to 83,232, 124,848 and 27,829.44

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Solution

The fourth proportional to 83,232, 124,848 and 27,829.44 is: 41,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232 : 124,848 = 27,829.44 : x
  2. Step 2: Convert to fraction form
    83,232/124,848 = 27,829.44/x
  3. Step 3: Cross multiply
    83,232x = 124,848 × 27,829.44
  4. Step 4: Simplify right side
    83,232x = 3,474,449,925.12
  5. Step 5: Solve for x
    x = 3,474,449,925.12/83,232
  6. Step 6: Final answer
    x = 41,744.16

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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.