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Finding the Fourth Proportional to 55,920, 77,169.84 and 30,769.92

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Solution

The fourth proportional to 55,920, 77,169.84 and 30,769.92 is: 42,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,920 : 77,169.84 = 30,769.92 : x
  2. Step 2: Convert to fraction form
    55,920/77,169.84 = 30,769.92/x
  3. Step 3: Cross multiply
    55,920x = 77,169.84 × 30,769.92
  4. Step 4: Simplify right side
    55,920x = 2,374,509,803.21
  5. Step 5: Solve for x
    x = 2,374,509,803.21/55,920
  6. Step 6: Final answer
    x = 42,462.62

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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.