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Finding the Fourth Proportional to 48,364.83, 72,565.47 and 18,784.44

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Solution

The fourth proportional to 48,364.83, 72,565.47 and 18,784.44 is: 28,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,364.83 : 72,565.47 = 18,784.44 : x
  2. Step 2: Convert to fraction form
    48,364.83/72,565.47 = 18,784.44/x
  3. Step 3: Cross multiply
    48,364.83x = 72,565.47 × 18,784.44
  4. Step 4: Simplify right side
    48,364.83x = 1,363,101,717.29
  5. Step 5: Solve for x
    x = 1,363,101,717.29/48,364.83
  6. Step 6: Final answer
    x = 28,183.74

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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.