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Finding the Fourth Proportional to 48,870.96, 73,255.14 and 20,784.48

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Solution

The fourth proportional to 48,870.96, 73,255.14 and 20,784.48 is: 31,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,870.96 : 73,255.14 = 20,784.48 : x
  2. Step 2: Convert to fraction form
    48,870.96/73,255.14 = 20,784.48/x
  3. Step 3: Cross multiply
    48,870.96x = 73,255.14 × 20,784.48
  4. Step 4: Simplify right side
    48,870.96x = 1,522,569,992.23
  5. Step 5: Solve for x
    x = 1,522,569,992.23/48,870.96
  6. Step 6: Final answer
    x = 31,154.90

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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.