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Finding the Fourth Proportional to 31,070.25, 42,879.36 and 17,645.71

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Solution

The fourth proportional to 31,070.25, 42,879.36 and 17,645.71 is: 24,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.25 : 42,879.36 = 17,645.71 : x
  2. Step 2: Convert to fraction form
    31,070.25/42,879.36 = 17,645.71/x
  3. Step 3: Cross multiply
    31,070.25x = 42,879.36 × 17,645.71
  4. Step 4: Simplify right side
    31,070.25x = 756,636,751.55
  5. Step 5: Solve for x
    x = 756,636,751.55/31,070.25
  6. Step 6: Final answer
    x = 24,352.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.