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Finding the Fourth Proportional to 48,284.40, 72,439.20 and 18,703.20

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Solution

The fourth proportional to 48,284.40, 72,439.20 and 18,703.20 is: 28,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,284.40 : 72,439.20 = 18,703.20 : x
  2. Step 2: Convert to fraction form
    48,284.40/72,439.20 = 18,703.20/x
  3. Step 3: Cross multiply
    48,284.40x = 72,439.20 × 18,703.20
  4. Step 4: Simplify right side
    48,284.40x = 1,354,844,845.44
  5. Step 5: Solve for x
    x = 1,354,844,845.44/48,284.40
  6. Step 6: Final answer
    x = 28,059.68

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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.