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Finding the Fourth Proportional to 47,699.70, 71,526.51 and 27,984.66

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Solution

The fourth proportional to 47,699.70, 71,526.51 and 27,984.66 is: 41,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,699.70 : 71,526.51 = 27,984.66 : x
  2. Step 2: Convert to fraction form
    47,699.70/71,526.51 = 27,984.66/x
  3. Step 3: Cross multiply
    47,699.70x = 71,526.51 × 27,984.66
  4. Step 4: Simplify right side
    47,699.70x = 2,001,645,063.34
  5. Step 5: Solve for x
    x = 2,001,645,063.34/47,699.70
  6. Step 6: Final answer
    x = 41,963.47

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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.