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Finding the Fourth Proportional to 35,984.76, 49,658.87 and 20,069.23

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Solution

The fourth proportional to 35,984.76, 49,658.87 and 20,069.23 is: 27,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984.76 : 49,658.87 = 20,069.23 : x
  2. Step 2: Convert to fraction form
    35,984.76/49,658.87 = 20,069.23/x
  3. Step 3: Cross multiply
    35,984.76x = 49,658.87 × 20,069.23
  4. Step 4: Simplify right side
    35,984.76x = 996,615,209.60
  5. Step 5: Solve for x
    x = 996,615,209.60/35,984.76
  6. Step 6: Final answer
    x = 27,695.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.