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Finding the Fourth Proportional to 29,131, 43,692.78 and 9,407.50

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Solution

The fourth proportional to 29,131, 43,692.78 and 9,407.50 is: 14,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,131 : 43,692.78 = 9,407.50 : x
  2. Step 2: Convert to fraction form
    29,131/43,692.78 = 9,407.50/x
  3. Step 3: Cross multiply
    29,131x = 43,692.78 × 9,407.50
  4. Step 4: Simplify right side
    29,131x = 411,039,827.85
  5. Step 5: Solve for x
    x = 411,039,827.85/29,131
  6. Step 6: Final answer
    x = 14,110.05

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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.