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Finding the Fourth Proportional to 84,467.52, 126,714.96 and 31,881.60

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Solution

The fourth proportional to 84,467.52, 126,714.96 and 31,881.60 is: 47,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,467.52 : 126,714.96 = 31,881.60 : x
  2. Step 2: Convert to fraction form
    84,467.52/126,714.96 = 31,881.60/x
  3. Step 3: Cross multiply
    84,467.52x = 126,714.96 × 31,881.60
  4. Step 4: Simplify right side
    84,467.52x = 4,039,875,668.74
  5. Step 5: Solve for x
    x = 4,039,875,668.74/84,467.52
  6. Step 6: Final answer
    x = 47,827.56

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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.