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Finding the Fourth Proportional to 73,291.58, 109,989.86 and 31,201.17

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Solution

The fourth proportional to 73,291.58, 109,989.86 and 31,201.17 is: 46,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,291.58 : 109,989.86 = 31,201.17 : x
  2. Step 2: Convert to fraction form
    73,291.58/109,989.86 = 31,201.17/x
  3. Step 3: Cross multiply
    73,291.58x = 109,989.86 × 31,201.17
  4. Step 4: Simplify right side
    73,291.58x = 3,431,812,320.14
  5. Step 5: Solve for x
    x = 3,431,812,320.14/73,291.58
  6. Step 6: Final answer
    x = 46,824.10

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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.