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Finding the Fourth Proportional to 71,837.77, 107,756.68 and 29,671.51

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Solution

The fourth proportional to 71,837.77, 107,756.68 and 29,671.51 is: 44,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,837.77 : 107,756.68 = 29,671.51 : x
  2. Step 2: Convert to fraction form
    71,837.77/107,756.68 = 29,671.51/x
  3. Step 3: Cross multiply
    71,837.77x = 107,756.68 × 29,671.51
  4. Step 4: Simplify right side
    71,837.77x = 3,197,303,246.53
  5. Step 5: Solve for x
    x = 3,197,303,246.53/71,837.77
  6. Step 6: Final answer
    x = 44,507.27

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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.