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Finding the Fourth Proportional to 50,421.86, 69,581.49 and 28,065.86

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Solution

The fourth proportional to 50,421.86, 69,581.49 and 28,065.86 is: 38,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,421.86 : 69,581.49 = 28,065.86 : x
  2. Step 2: Convert to fraction form
    50,421.86/69,581.49 = 28,065.86/x
  3. Step 3: Cross multiply
    50,421.86x = 69,581.49 × 28,065.86
  4. Step 4: Simplify right side
    50,421.86x = 1,952,864,356.93
  5. Step 5: Solve for x
    x = 1,952,864,356.93/50,421.86
  6. Step 6: Final answer
    x = 38,730.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.