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Finding the Fourth Proportional to 31,570.58, 43,567.64 and 17,230.52

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Solution

The fourth proportional to 31,570.58, 43,567.64 and 17,230.52 is: 23,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.58 : 43,567.64 = 17,230.52 : x
  2. Step 2: Convert to fraction form
    31,570.58/43,567.64 = 17,230.52/x
  3. Step 3: Cross multiply
    31,570.58x = 43,567.64 × 17,230.52
  4. Step 4: Simplify right side
    31,570.58x = 750,692,788.38
  5. Step 5: Solve for x
    x = 750,692,788.38/31,570.58
  6. Step 6: Final answer
    x = 23,778.24

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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.