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Finding the Fourth Proportional to 54,085.84, 74,642.50 and 31,122.70

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Solution

The fourth proportional to 54,085.84, 74,642.50 and 31,122.70 is: 42,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,085.84 : 74,642.50 = 31,122.70 : x
  2. Step 2: Convert to fraction form
    54,085.84/74,642.50 = 31,122.70/x
  3. Step 3: Cross multiply
    54,085.84x = 74,642.50 × 31,122.70
  4. Step 4: Simplify right side
    54,085.84x = 2,323,076,134.75
  5. Step 5: Solve for x
    x = 2,323,076,134.75/54,085.84
  6. Step 6: Final answer
    x = 42,951.65

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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.