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Finding the Fourth Proportional to 73,232.31, 109,846.41 and 23,315.40

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Solution

The fourth proportional to 73,232.31, 109,846.41 and 23,315.40 is: 34,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,232.31 : 109,846.41 = 23,315.40 : x
  2. Step 2: Convert to fraction form
    73,232.31/109,846.41 = 23,315.40/x
  3. Step 3: Cross multiply
    73,232.31x = 109,846.41 × 23,315.40
  4. Step 4: Simplify right side
    73,232.31x = 2,561,112,987.71
  5. Step 5: Solve for x
    x = 2,561,112,987.71/73,232.31
  6. Step 6: Final answer
    x = 34,972.45

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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.