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Finding the Fourth Proportional to 34,692.17, 47,895.82 and 22,776.40

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Solution

The fourth proportional to 34,692.17, 47,895.82 and 22,776.40 is: 31,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692.17 : 47,895.82 = 22,776.40 : x
  2. Step 2: Convert to fraction form
    34,692.17/47,895.82 = 22,776.40/x
  3. Step 3: Cross multiply
    34,692.17x = 47,895.82 × 22,776.40
  4. Step 4: Simplify right side
    34,692.17x = 1,090,894,354.65
  5. Step 5: Solve for x
    x = 1,090,894,354.65/34,692.17
  6. Step 6: Final answer
    x = 31,444.97

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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.