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Finding the Fourth Proportional to 47,977.82, 71,966.72 and 16,813.07

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Solution

The fourth proportional to 47,977.82, 71,966.72 and 16,813.07 is: 25,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,977.82 : 71,966.72 = 16,813.07 : x
  2. Step 2: Convert to fraction form
    47,977.82/71,966.72 = 16,813.07/x
  3. Step 3: Cross multiply
    47,977.82x = 71,966.72 × 16,813.07
  4. Step 4: Simplify right side
    47,977.82x = 1,209,981,141.20
  5. Step 5: Solve for x
    x = 1,209,981,141.20/47,977.82
  6. Step 6: Final answer
    x = 25,219.60

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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.