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Finding the Fourth Proportional to 47,776.42, 71,664.03 and 29,061.58

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Solution

The fourth proportional to 47,776.42, 71,664.03 and 29,061.58 is: 43,592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,776.42 : 71,664.03 = 29,061.58 : x
  2. Step 2: Convert to fraction form
    47,776.42/71,664.03 = 29,061.58/x
  3. Step 3: Cross multiply
    47,776.42x = 71,664.03 × 29,061.58
  4. Step 4: Simplify right side
    47,776.42x = 2,082,669,940.97
  5. Step 5: Solve for x
    x = 2,082,669,940.97/47,776.42
  6. Step 6: Final answer
    x = 43,592.01

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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.