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Finding the Fourth Proportional to 29,136.04, 43,705.70 and 8,359

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Solution

The fourth proportional to 29,136.04, 43,705.70 and 8,359 is: 12,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,136.04 : 43,705.70 = 8,359 : x
  2. Step 2: Convert to fraction form
    29,136.04/43,705.70 = 8,359/x
  3. Step 3: Cross multiply
    29,136.04x = 43,705.70 × 8,359
  4. Step 4: Simplify right side
    29,136.04x = 365,335,946.30
  5. Step 5: Solve for x
    x = 365,335,946.30/29,136.04
  6. Step 6: Final answer
    x = 12,538.97

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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.