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Finding the Fourth Proportional to 48,654, 73,002.96 and 27,877.50

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Solution

The fourth proportional to 48,654, 73,002.96 and 27,877.50 is: 41,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,654 : 73,002.96 = 27,877.50 : x
  2. Step 2: Convert to fraction form
    48,654/73,002.96 = 27,877.50/x
  3. Step 3: Cross multiply
    48,654x = 73,002.96 × 27,877.50
  4. Step 4: Simplify right side
    48,654x = 2,035,140,017.40
  5. Step 5: Solve for x
    x = 2,035,140,017.40/48,654
  6. Step 6: Final answer
    x = 41,828.83

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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.