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Finding the Fourth Proportional to 29,570, 40,809.16 and 16,324.56

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Solution

The fourth proportional to 29,570, 40,809.16 and 16,324.56 is: 22,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570 : 40,809.16 = 16,324.56 : x
  2. Step 2: Convert to fraction form
    29,570/40,809.16 = 16,324.56/x
  3. Step 3: Cross multiply
    29,570x = 40,809.16 × 16,324.56
  4. Step 4: Simplify right side
    29,570x = 666,191,580.97
  5. Step 5: Solve for x
    x = 666,191,580.97/29,570
  6. Step 6: Final answer
    x = 22,529.31

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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.