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Finding the Fourth Proportional to 54,898.56, 82,347.84 and 31,531.68

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Solution

The fourth proportional to 54,898.56, 82,347.84 and 31,531.68 is: 47,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,898.56 : 82,347.84 = 31,531.68 : x
  2. Step 2: Convert to fraction form
    54,898.56/82,347.84 = 31,531.68/x
  3. Step 3: Cross multiply
    54,898.56x = 82,347.84 × 31,531.68
  4. Step 4: Simplify right side
    54,898.56x = 2,596,565,739.57
  5. Step 5: Solve for x
    x = 2,596,565,739.57/54,898.56
  6. Step 6: Final answer
    x = 47,297.52

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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.