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Finding the Fourth Proportional to 29,924, 41,295.10 and 16,495.48

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Solution

The fourth proportional to 29,924, 41,295.10 and 16,495.48 is: 22,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924 : 41,295.10 = 16,495.48 : x
  2. Step 2: Convert to fraction form
    29,924/41,295.10 = 16,495.48/x
  3. Step 3: Cross multiply
    29,924x = 41,295.10 × 16,495.48
  4. Step 4: Simplify right side
    29,924x = 681,182,496.15
  5. Step 5: Solve for x
    x = 681,182,496.15/29,924
  6. Step 6: Final answer
    x = 22,763.75

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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.