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Finding the Fourth Proportional to 31,803.84, 43,888.68 and 17,656.38

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Solution

The fourth proportional to 31,803.84, 43,888.68 and 17,656.38 is: 24,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.84 : 43,888.68 = 17,656.38 : x
  2. Step 2: Convert to fraction form
    31,803.84/43,888.68 = 17,656.38/x
  3. Step 3: Cross multiply
    31,803.84x = 43,888.68 × 17,656.38
  4. Step 4: Simplify right side
    31,803.84x = 774,915,211.78
  5. Step 5: Solve for x
    x = 774,915,211.78/31,803.84
  6. Step 6: Final answer
    x = 24,365.46

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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.