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Finding the Fourth Proportional to 48,957.60, 73,439.19 and 13,894.50

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Solution

The fourth proportional to 48,957.60, 73,439.19 and 13,894.50 is: 20,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,957.60 : 73,439.19 = 13,894.50 : x
  2. Step 2: Convert to fraction form
    48,957.60/73,439.19 = 13,894.50/x
  3. Step 3: Cross multiply
    48,957.60x = 73,439.19 × 13,894.50
  4. Step 4: Simplify right side
    48,957.60x = 1,020,400,825.46
  5. Step 5: Solve for x
    x = 1,020,400,825.46/48,957.60
  6. Step 6: Final answer
    x = 20,842.54

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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.