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Finding the Fourth Proportional to 54,951.96, 75,832.81 and 31,077.74

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Solution

The fourth proportional to 54,951.96, 75,832.81 and 31,077.74 is: 42,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.96 : 75,832.81 = 31,077.74 : x
  2. Step 2: Convert to fraction form
    54,951.96/75,832.81 = 31,077.74/x
  3. Step 3: Cross multiply
    54,951.96x = 75,832.81 × 31,077.74
  4. Step 4: Simplify right side
    54,951.96x = 2,356,712,352.65
  5. Step 5: Solve for x
    x = 2,356,712,352.65/54,951.96
  6. Step 6: Final answer
    x = 42,886.78

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1.5x scale

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.