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Finding the Fourth Proportional to 50,996.52, 70,352.56 and 33,984.20

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Solution

The fourth proportional to 50,996.52, 70,352.56 and 33,984.20 is: 46,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,996.52 : 70,352.56 = 33,984.20 : x
  2. Step 2: Convert to fraction form
    50,996.52/70,352.56 = 33,984.20/x
  3. Step 3: Cross multiply
    50,996.52x = 70,352.56 × 33,984.20
  4. Step 4: Simplify right side
    50,996.52x = 2,390,875,160.27
  5. Step 5: Solve for x
    x = 2,390,875,160.27/50,996.52
  6. Step 6: Final answer
    x = 46,883.10

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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.