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Finding the Fourth Proportional to 31,726.78, 43,763.12 and 20,411

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Solution

The fourth proportional to 31,726.78, 43,763.12 and 20,411 is: 28,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726.78 : 43,763.12 = 20,411 : x
  2. Step 2: Convert to fraction form
    31,726.78/43,763.12 = 20,411/x
  3. Step 3: Cross multiply
    31,726.78x = 43,763.12 × 20,411
  4. Step 4: Simplify right side
    31,726.78x = 893,249,042.32
  5. Step 5: Solve for x
    x = 893,249,042.32/31,726.78
  6. Step 6: Final answer
    x = 28,154.42

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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.