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Finding the Fourth Proportional to 54,146.34, 74,691.95 and 31,482.82

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Solution

The fourth proportional to 54,146.34, 74,691.95 and 31,482.82 is: 43,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146.34 : 74,691.95 = 31,482.82 : x
  2. Step 2: Convert to fraction form
    54,146.34/74,691.95 = 31,482.82/x
  3. Step 3: Cross multiply
    54,146.34x = 74,691.95 × 31,482.82
  4. Step 4: Simplify right side
    54,146.34x = 2,351,513,246.61
  5. Step 5: Solve for x
    x = 2,351,513,246.61/54,146.34
  6. Step 6: Final answer
    x = 43,428.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.