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Finding the Fourth Proportional to 71,434.86, 107,127.44 and 29,302.98

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Solution

The fourth proportional to 71,434.86, 107,127.44 and 29,302.98 is: 43,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,434.86 : 107,127.44 = 29,302.98 : x
  2. Step 2: Convert to fraction form
    71,434.86/107,127.44 = 29,302.98/x
  3. Step 3: Cross multiply
    71,434.86x = 107,127.44 × 29,302.98
  4. Step 4: Simplify right side
    71,434.86x = 3,139,153,231.77
  5. Step 5: Solve for x
    x = 3,139,153,231.77/71,434.86
  6. Step 6: Final answer
    x = 43,944.28

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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.