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Finding the Fourth Proportional to 35,688, 49,249.44 and 21,540.86

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Solution

The fourth proportional to 35,688, 49,249.44 and 21,540.86 is: 29,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,688 : 49,249.44 = 21,540.86 : x
  2. Step 2: Convert to fraction form
    35,688/49,249.44 = 21,540.86/x
  3. Step 3: Cross multiply
    35,688x = 49,249.44 × 21,540.86
  4. Step 4: Simplify right side
    35,688x = 1,060,875,045.87
  5. Step 5: Solve for x
    x = 1,060,875,045.87/35,688
  6. Step 6: Final answer
    x = 29,726.38

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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.