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Finding the Fourth Proportional to 52,029.44, 71,799.68 and 29,671.68

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Solution

The fourth proportional to 52,029.44, 71,799.68 and 29,671.68 is: 40,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029.44 : 71,799.68 = 29,671.68 : x
  2. Step 2: Convert to fraction form
    52,029.44/71,799.68 = 29,671.68/x
  3. Step 3: Cross multiply
    52,029.44x = 71,799.68 × 29,671.68
  4. Step 4: Simplify right side
    52,029.44x = 2,130,417,129.06
  5. Step 5: Solve for x
    x = 2,130,417,129.06/52,029.44
  6. Step 6: Final answer
    x = 40,946.38

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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.