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Finding the Fourth Proportional to 31,699.89, 43,741.89 and 17,552.82

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Solution

The fourth proportional to 31,699.89, 43,741.89 and 17,552.82 is: 24,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.89 : 43,741.89 = 17,552.82 : x
  2. Step 2: Convert to fraction form
    31,699.89/43,741.89 = 17,552.82/x
  3. Step 3: Cross multiply
    31,699.89x = 43,741.89 × 17,552.82
  4. Step 4: Simplify right side
    31,699.89x = 767,793,521.63
  5. Step 5: Solve for x
    x = 767,793,521.63/31,699.89
  6. Step 6: Final answer
    x = 24,220.70

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1.5x scale

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.