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Finding the Fourth Proportional to 48,844.32, 73,223.28 and 23,870.40

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Solution

The fourth proportional to 48,844.32, 73,223.28 and 23,870.40 is: 35,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,844.32 : 73,223.28 = 23,870.40 : x
  2. Step 2: Convert to fraction form
    48,844.32/73,223.28 = 23,870.40/x
  3. Step 3: Cross multiply
    48,844.32x = 73,223.28 × 23,870.40
  4. Step 4: Simplify right side
    48,844.32x = 1,747,868,982.91
  5. Step 5: Solve for x
    x = 1,747,868,982.91/48,844.32
  6. Step 6: Final answer
    x = 35,784.49

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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.