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Finding the Fourth Proportional to 47,266.84, 70,912.56 and 17,687

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Solution

The fourth proportional to 47,266.84, 70,912.56 and 17,687 is: 26,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266.84 : 70,912.56 = 17,687 : x
  2. Step 2: Convert to fraction form
    47,266.84/70,912.56 = 17,687/x
  3. Step 3: Cross multiply
    47,266.84x = 70,912.56 × 17,687
  4. Step 4: Simplify right side
    47,266.84x = 1,254,230,448.72
  5. Step 5: Solve for x
    x = 1,254,230,448.72/47,266.84
  6. Step 6: Final answer
    x = 26,535.10

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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.