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Finding the Fourth Proportional to 31,810.67, 43,900.07 and 17,663.50

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Solution

The fourth proportional to 31,810.67, 43,900.07 and 17,663.50 is: 24,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810.67 : 43,900.07 = 17,663.50 : x
  2. Step 2: Convert to fraction form
    31,810.67/43,900.07 = 17,663.50/x
  3. Step 3: Cross multiply
    31,810.67x = 43,900.07 × 17,663.50
  4. Step 4: Simplify right side
    31,810.67x = 775,428,886.45
  5. Step 5: Solve for x
    x = 775,428,886.45/31,810.67
  6. Step 6: Final answer
    x = 24,376.38

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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.