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Finding the Fourth Proportional to 56,251.76, 84,377.61 and 22,965.93

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Solution

The fourth proportional to 56,251.76, 84,377.61 and 22,965.93 is: 34,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,251.76 : 84,377.61 = 22,965.93 : x
  2. Step 2: Convert to fraction form
    56,251.76/84,377.61 = 22,965.93/x
  3. Step 3: Cross multiply
    56,251.76x = 84,377.61 × 22,965.93
  4. Step 4: Simplify right side
    56,251.76x = 1,937,810,284.83
  5. Step 5: Solve for x
    x = 1,937,810,284.83/56,251.76
  6. Step 6: Final answer
    x = 34,448.89

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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.