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Finding the Fourth Proportional to 31,167.82, 46,774.95 and 22,869.28

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Solution

The fourth proportional to 31,167.82, 46,774.95 and 22,869.28 is: 34,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167.82 : 46,774.95 = 22,869.28 : x
  2. Step 2: Convert to fraction form
    31,167.82/46,774.95 = 22,869.28/x
  3. Step 3: Cross multiply
    31,167.82x = 46,774.95 × 22,869.28
  4. Step 4: Simplify right side
    31,167.82x = 1,069,709,428.54
  5. Step 5: Solve for x
    x = 1,069,709,428.54/31,167.82
  6. Step 6: Final answer
    x = 34,320.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.