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Finding the Fourth Proportional to 31,178.95, 43,025.34 and 17,029.06

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Solution

The fourth proportional to 31,178.95, 43,025.34 and 17,029.06 is: 23,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.95 : 43,025.34 = 17,029.06 : x
  2. Step 2: Convert to fraction form
    31,178.95/43,025.34 = 17,029.06/x
  3. Step 3: Cross multiply
    31,178.95x = 43,025.34 × 17,029.06
  4. Step 4: Simplify right side
    31,178.95x = 732,681,096.38
  5. Step 5: Solve for x
    x = 732,681,096.38/31,178.95
  6. Step 6: Final answer
    x = 23,499.22

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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.