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Finding the Fourth Proportional to 31,707.23, 43,756.06 and 17,560.07

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Solution

The fourth proportional to 31,707.23, 43,756.06 and 17,560.07 is: 24,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.23 : 43,756.06 = 17,560.07 : x
  2. Step 2: Convert to fraction form
    31,707.23/43,756.06 = 17,560.07/x
  3. Step 3: Cross multiply
    31,707.23x = 43,756.06 × 17,560.07
  4. Step 4: Simplify right side
    31,707.23x = 768,359,589.38
  5. Step 5: Solve for x
    x = 768,359,589.38/31,707.23
  6. Step 6: Final answer
    x = 24,232.95

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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.