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Finding the Fourth Proportional to 54,780.88, 75,597.60 and 30,907.34

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Solution

The fourth proportional to 54,780.88, 75,597.60 and 30,907.34 is: 42,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,780.88 : 75,597.60 = 30,907.34 : x
  2. Step 2: Convert to fraction form
    54,780.88/75,597.60 = 30,907.34/x
  3. Step 3: Cross multiply
    54,780.88x = 75,597.60 × 30,907.34
  4. Step 4: Simplify right side
    54,780.88x = 2,336,520,726.38
  5. Step 5: Solve for x
    x = 2,336,520,726.38/54,780.88
  6. Step 6: Final answer
    x = 42,652.12

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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.