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Finding the Fourth Proportional to 55,980.74, 77,250.57 and 30,825.38

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Solution

The fourth proportional to 55,980.74, 77,250.57 and 30,825.38 is: 42,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,980.74 : 77,250.57 = 30,825.38 : x
  2. Step 2: Convert to fraction form
    55,980.74/77,250.57 = 30,825.38/x
  3. Step 3: Cross multiply
    55,980.74x = 77,250.57 × 30,825.38
  4. Step 4: Simplify right side
    55,980.74x = 2,381,278,175.47
  5. Step 5: Solve for x
    x = 2,381,278,175.47/55,980.74
  6. Step 6: Final answer
    x = 42,537.45

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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.