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Finding the Fourth Proportional to 29,646, 40,910.94 and 17,712

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Solution

The fourth proportional to 29,646, 40,910.94 and 17,712 is: 24,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646 : 40,910.94 = 17,712 : x
  2. Step 2: Convert to fraction form
    29,646/40,910.94 = 17,712/x
  3. Step 3: Cross multiply
    29,646x = 40,910.94 × 17,712
  4. Step 4: Simplify right side
    29,646x = 724,614,569.28
  5. Step 5: Solve for x
    x = 724,614,569.28/29,646
  6. Step 6: Final answer
    x = 24,442.24

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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.