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Finding the Fourth Proportional to 29,689.31, 40,971.24 and 16,260.54

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Solution

The fourth proportional to 29,689.31, 40,971.24 and 16,260.54 is: 22,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.31 : 40,971.24 = 16,260.54 : x
  2. Step 2: Convert to fraction form
    29,689.31/40,971.24 = 16,260.54/x
  3. Step 3: Cross multiply
    29,689.31x = 40,971.24 × 16,260.54
  4. Step 4: Simplify right side
    29,689.31x = 666,214,486.87
  5. Step 5: Solve for x
    x = 666,214,486.87/29,689.31
  6. Step 6: Final answer
    x = 22,439.54

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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.