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Finding the Fourth Proportional to 23,783.40, 35,675.10 and 20,711.40

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Solution

The fourth proportional to 23,783.40, 35,675.10 and 20,711.40 is: 31,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.40 : 35,675.10 = 20,711.40 : x
  2. Step 2: Convert to fraction form
    23,783.40/35,675.10 = 20,711.40/x
  3. Step 3: Cross multiply
    23,783.40x = 35,675.10 × 20,711.40
  4. Step 4: Simplify right side
    23,783.40x = 738,881,266.14
  5. Step 5: Solve for x
    x = 738,881,266.14/23,783.40
  6. Step 6: Final answer
    x = 31,067.10

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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.