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Finding the Fourth Proportional to 51,410.29, 70,917.70 and 29,897.68

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Solution

The fourth proportional to 51,410.29, 70,917.70 and 29,897.68 is: 41,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,410.29 : 70,917.70 = 29,897.68 : x
  2. Step 2: Convert to fraction form
    51,410.29/70,917.70 = 29,897.68/x
  3. Step 3: Cross multiply
    51,410.29x = 70,917.70 × 29,897.68
  4. Step 4: Simplify right side
    51,410.29x = 2,120,274,700.94
  5. Step 5: Solve for x
    x = 2,120,274,700.94/51,410.29
  6. Step 6: Final answer
    x = 41,242.22

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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.