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Finding the Fourth Proportional to 29,301, 40,434.19 and 17,199.82

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Solution

The fourth proportional to 29,301, 40,434.19 and 17,199.82 is: 23,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,301 : 40,434.19 = 17,199.82 : x
  2. Step 2: Convert to fraction form
    29,301/40,434.19 = 17,199.82/x
  3. Step 3: Cross multiply
    29,301x = 40,434.19 × 17,199.82
  4. Step 4: Simplify right side
    29,301x = 695,460,789.85
  5. Step 5: Solve for x
    x = 695,460,789.85/29,301
  6. Step 6: Final answer
    x = 23,735.05

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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.