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Finding the Fourth Proportional to 48,112.14, 72,179.14 and 21,824.40

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Solution

The fourth proportional to 48,112.14, 72,179.14 and 21,824.40 is: 32,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,112.14 : 72,179.14 = 21,824.40 : x
  2. Step 2: Convert to fraction form
    48,112.14/72,179.14 = 21,824.40/x
  3. Step 3: Cross multiply
    48,112.14x = 72,179.14 × 21,824.40
  4. Step 4: Simplify right side
    48,112.14x = 1,575,266,423.02
  5. Step 5: Solve for x
    x = 1,575,266,423.02/48,112.14
  6. Step 6: Final answer
    x = 32,741.56

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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.