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Finding the Fourth Proportional to 29,070.50, 43,606.16 and 8,294

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Solution

The fourth proportional to 29,070.50, 43,606.16 and 8,294 is: 12,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,070.50 : 43,606.16 = 8,294 : x
  2. Step 2: Convert to fraction form
    29,070.50/43,606.16 = 8,294/x
  3. Step 3: Cross multiply
    29,070.50x = 43,606.16 × 8,294
  4. Step 4: Simplify right side
    29,070.50x = 361,669,491.04
  5. Step 5: Solve for x
    x = 361,669,491.04/29,070.50
  6. Step 6: Final answer
    x = 12,441.12

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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.