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Finding the Fourth Proportional to 51,416, 70,959.92 and 29,061.44

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Solution

The fourth proportional to 51,416, 70,959.92 and 29,061.44 is: 40,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,416 : 70,959.92 = 29,061.44 : x
  2. Step 2: Convert to fraction form
    51,416/70,959.92 = 29,061.44/x
  3. Step 3: Cross multiply
    51,416x = 70,959.92 × 29,061.44
  4. Step 4: Simplify right side
    51,416x = 2,062,197,457.48
  5. Step 5: Solve for x
    x = 2,062,197,457.48/51,416
  6. Step 6: Final answer
    x = 40,108.09

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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.