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Finding the Fourth Proportional to 84,714.71, 127,031.14 and 49,184.96

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Solution

The fourth proportional to 84,714.71, 127,031.14 and 49,184.96 is: 73,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,714.71 : 127,031.14 = 49,184.96 : x
  2. Step 2: Convert to fraction form
    84,714.71/127,031.14 = 49,184.96/x
  3. Step 3: Cross multiply
    84,714.71x = 127,031.14 × 49,184.96
  4. Step 4: Simplify right side
    84,714.71x = 6,248,021,539.65
  5. Step 5: Solve for x
    x = 6,248,021,539.65/84,714.71
  6. Step 6: Final answer
    x = 73,753.68

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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.