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Finding the Fourth Proportional to 54,494.70, 75,200.28 and 31,835.79

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Solution

The fourth proportional to 54,494.70, 75,200.28 and 31,835.79 is: 43,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,494.70 : 75,200.28 = 31,835.79 : x
  2. Step 2: Convert to fraction form
    54,494.70/75,200.28 = 31,835.79/x
  3. Step 3: Cross multiply
    54,494.70x = 75,200.28 × 31,835.79
  4. Step 4: Simplify right side
    54,494.70x = 2,394,060,322.02
  5. Step 5: Solve for x
    x = 2,394,060,322.02/54,494.70
  6. Step 6: Final answer
    x = 43,931.98

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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.