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Finding the Fourth Proportional to 55,781.78, 76,977.88 and 30,631.10

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Solution

The fourth proportional to 55,781.78, 76,977.88 and 30,631.10 is: 42,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781.78 : 76,977.88 = 30,631.10 : x
  2. Step 2: Convert to fraction form
    55,781.78/76,977.88 = 30,631.10/x
  3. Step 3: Cross multiply
    55,781.78x = 76,977.88 × 30,631.10
  4. Step 4: Simplify right side
    55,781.78x = 2,357,917,140.07
  5. Step 5: Solve for x
    x = 2,357,917,140.07/55,781.78
  6. Step 6: Final answer
    x = 42,270.38

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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.