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Finding the Fourth Proportional to 30,074, 41,502.12 and 17,507.12

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Solution

The fourth proportional to 30,074, 41,502.12 and 17,507.12 is: 24,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074 : 41,502.12 = 17,507.12 : x
  2. Step 2: Convert to fraction form
    30,074/41,502.12 = 17,507.12/x
  3. Step 3: Cross multiply
    30,074x = 41,502.12 × 17,507.12
  4. Step 4: Simplify right side
    30,074x = 726,582,595.09
  5. Step 5: Solve for x
    x = 726,582,595.09/30,074
  6. Step 6: Final answer
    x = 24,159.83

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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.