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Finding the Fourth Proportional to 52,176.69, 72,007.38 and 29,515.68

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Solution

The fourth proportional to 52,176.69, 72,007.38 and 29,515.68 is: 40,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176.69 : 72,007.38 = 29,515.68 : x
  2. Step 2: Convert to fraction form
    52,176.69/72,007.38 = 29,515.68/x
  3. Step 3: Cross multiply
    52,176.69x = 72,007.38 × 29,515.68
  4. Step 4: Simplify right side
    52,176.69x = 2,125,346,785.72
  5. Step 5: Solve for x
    x = 2,125,346,785.72/52,176.69
  6. Step 6: Final answer
    x = 40,733.65

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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.