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Finding the Fourth Proportional to 45,714.36, 63,071.82 and 29,793

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Solution

The fourth proportional to 45,714.36, 63,071.82 and 29,793 is: 41,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,714.36 : 63,071.82 = 29,793 : x
  2. Step 2: Convert to fraction form
    45,714.36/63,071.82 = 29,793/x
  3. Step 3: Cross multiply
    45,714.36x = 63,071.82 × 29,793
  4. Step 4: Simplify right side
    45,714.36x = 1,879,098,733.26
  5. Step 5: Solve for x
    x = 1,879,098,733.26/45,714.36
  6. Step 6: Final answer
    x = 41,105.22

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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.