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Finding the Fourth Proportional to 47,980.68, 71,935.47 and 22,996.95

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Solution

The fourth proportional to 47,980.68, 71,935.47 and 22,996.95 is: 34,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.68 : 71,935.47 = 22,996.95 : x
  2. Step 2: Convert to fraction form
    47,980.68/71,935.47 = 22,996.95/x
  3. Step 3: Cross multiply
    47,980.68x = 71,935.47 × 22,996.95
  4. Step 4: Simplify right side
    47,980.68x = 1,654,296,406.82
  5. Step 5: Solve for x
    x = 1,654,296,406.82/47,980.68
  6. Step 6: Final answer
    x = 34,478.39

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1.5x scale

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.