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Finding the Fourth Proportional to 29,648.32, 40,908.56 and 17,707.28

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Solution

The fourth proportional to 29,648.32, 40,908.56 and 17,707.28 is: 24,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,648.32 : 40,908.56 = 17,707.28 : x
  2. Step 2: Convert to fraction form
    29,648.32/40,908.56 = 17,707.28/x
  3. Step 3: Cross multiply
    29,648.32x = 40,908.56 × 17,707.28
  4. Step 4: Simplify right side
    29,648.32x = 724,379,326.32
  5. Step 5: Solve for x
    x = 724,379,326.32/29,648.32
  6. Step 6: Final answer
    x = 24,432.39

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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.