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Finding the Fourth Proportional to 54,932.40, 82,495.80 and 42,482.70

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Solution

The fourth proportional to 54,932.40, 82,495.80 and 42,482.70 is: 63,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,932.40 : 82,495.80 = 42,482.70 : x
  2. Step 2: Convert to fraction form
    54,932.40/82,495.80 = 42,482.70/x
  3. Step 3: Cross multiply
    54,932.40x = 82,495.80 × 42,482.70
  4. Step 4: Simplify right side
    54,932.40x = 3,504,644,322.66
  5. Step 5: Solve for x
    x = 3,504,644,322.66/54,932.40
  6. Step 6: Final answer
    x = 63,799.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.