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Finding the Fourth Proportional to 29,140, 43,706.22 and 9,416.56

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Solution

The fourth proportional to 29,140, 43,706.22 and 9,416.56 is: 14,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140 : 43,706.22 = 9,416.56 : x
  2. Step 2: Convert to fraction form
    29,140/43,706.22 = 9,416.56/x
  3. Step 3: Cross multiply
    29,140x = 43,706.22 × 9,416.56
  4. Step 4: Simplify right side
    29,140x = 411,562,243.00
  5. Step 5: Solve for x
    x = 411,562,243.00/29,140
  6. Step 6: Final answer
    x = 14,123.62

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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.