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Finding the Fourth Proportional to 29,674.14, 40,978.07 and 19,082.17

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Solution

The fourth proportional to 29,674.14, 40,978.07 and 19,082.17 is: 26,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674.14 : 40,978.07 = 19,082.17 : x
  2. Step 2: Convert to fraction form
    29,674.14/40,978.07 = 19,082.17/x
  3. Step 3: Cross multiply
    29,674.14x = 40,978.07 × 19,082.17
  4. Step 4: Simplify right side
    29,674.14x = 781,950,402.60
  5. Step 5: Solve for x
    x = 781,950,402.60/29,674.14
  6. Step 6: Final answer
    x = 26,351.25

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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.