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Finding the Fourth Proportional to 48,788.86, 73,187.61 and 13,728.82

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Solution

The fourth proportional to 48,788.86, 73,187.61 and 13,728.82 is: 20,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,788.86 : 73,187.61 = 13,728.82 : x
  2. Step 2: Convert to fraction form
    48,788.86/73,187.61 = 13,728.82/x
  3. Step 3: Cross multiply
    48,788.86x = 73,187.61 × 13,728.82
  4. Step 4: Simplify right side
    48,788.86x = 1,004,779,523.92
  5. Step 5: Solve for x
    x = 1,004,779,523.92/48,788.86
  6. Step 6: Final answer
    x = 20,594.45

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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.