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Finding the Fourth Proportional to 30,959.81, 42,724.16 and 16,812.75

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Solution

The fourth proportional to 30,959.81, 42,724.16 and 16,812.75 is: 23,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.81 : 42,724.16 = 16,812.75 : x
  2. Step 2: Convert to fraction form
    30,959.81/42,724.16 = 16,812.75/x
  3. Step 3: Cross multiply
    30,959.81x = 42,724.16 × 16,812.75
  4. Step 4: Simplify right side
    30,959.81x = 718,310,536.98
  5. Step 5: Solve for x
    x = 718,310,536.98/30,959.81
  6. Step 6: Final answer
    x = 23,201.39

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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.