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Finding the Fourth Proportional to 48,678.40, 73,017.60 and 27,884.80

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Solution

The fourth proportional to 48,678.40, 73,017.60 and 27,884.80 is: 41,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,678.40 : 73,017.60 = 27,884.80 : x
  2. Step 2: Convert to fraction form
    48,678.40/73,017.60 = 27,884.80/x
  3. Step 3: Cross multiply
    48,678.40x = 73,017.60 × 27,884.80
  4. Step 4: Simplify right side
    48,678.40x = 2,036,081,172.48
  5. Step 5: Solve for x
    x = 2,036,081,172.48/48,678.40
  6. Step 6: Final answer
    x = 41,827.20

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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.