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Finding the Fourth Proportional to 29,971.36, 41,356.02 and 17,393.68

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Solution

The fourth proportional to 29,971.36, 41,356.02 and 17,393.68 is: 24,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.36 : 41,356.02 = 17,393.68 : x
  2. Step 2: Convert to fraction form
    29,971.36/41,356.02 = 17,393.68/x
  3. Step 3: Cross multiply
    29,971.36x = 41,356.02 × 17,393.68
  4. Step 4: Simplify right side
    29,971.36x = 719,333,377.95
  5. Step 5: Solve for x
    x = 719,333,377.95/29,971.36
  6. Step 6: Final answer
    x = 24,000.69

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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.