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Finding the Fourth Proportional to 55,994.81, 77,272.84 and 30,844.31

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Solution

The fourth proportional to 55,994.81, 77,272.84 and 30,844.31 is: 42,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,994.81 : 77,272.84 = 30,844.31 : x
  2. Step 2: Convert to fraction form
    55,994.81/77,272.84 = 30,844.31/x
  3. Step 3: Cross multiply
    55,994.81x = 77,272.84 × 30,844.31
  4. Step 4: Simplify right side
    55,994.81x = 2,383,427,663.28
  5. Step 5: Solve for x
    x = 2,383,427,663.28/55,994.81
  6. Step 6: Final answer
    x = 42,565.15

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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.