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Finding the Fourth Proportional to 54,836.58, 75,675.93 and 30,963.45

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Solution

The fourth proportional to 54,836.58, 75,675.93 and 30,963.45 is: 42,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,836.58 : 75,675.93 = 30,963.45 : x
  2. Step 2: Convert to fraction form
    54,836.58/75,675.93 = 30,963.45/x
  3. Step 3: Cross multiply
    54,836.58x = 75,675.93 × 30,963.45
  4. Step 4: Simplify right side
    54,836.58x = 2,343,187,874.76
  5. Step 5: Solve for x
    x = 2,343,187,874.76/54,836.58
  6. Step 6: Final answer
    x = 42,730.38

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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.