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Finding the Fourth Proportional to 35,307.70, 48,724.90 and 20,199.42

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Solution

The fourth proportional to 35,307.70, 48,724.90 and 20,199.42 is: 27,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,307.70 : 48,724.90 = 20,199.42 : x
  2. Step 2: Convert to fraction form
    35,307.70/48,724.90 = 20,199.42/x
  3. Step 3: Cross multiply
    35,307.70x = 48,724.90 × 20,199.42
  4. Step 4: Simplify right side
    35,307.70x = 984,214,719.56
  5. Step 5: Solve for x
    x = 984,214,719.56/35,307.70
  6. Step 6: Final answer
    x = 27,875.36

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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.