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Finding the Fourth Proportional to 69,582.65, 96,022.85 and 42,348.87

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Solution

The fourth proportional to 69,582.65, 96,022.85 and 42,348.87 is: 58,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,582.65 : 96,022.85 = 42,348.87 : x
  2. Step 2: Convert to fraction form
    69,582.65/96,022.85 = 42,348.87/x
  3. Step 3: Cross multiply
    69,582.65x = 96,022.85 × 42,348.87
  4. Step 4: Simplify right side
    69,582.65x = 4,066,458,979.94
  5. Step 5: Solve for x
    x = 4,066,458,979.94/69,582.65
  6. Step 6: Final answer
    x = 58,440.71

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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.