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Finding the Fourth Proportional to 40,813.70, 56,322.93 and 22,910.42

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Solution

The fourth proportional to 40,813.70, 56,322.93 and 22,910.42 is: 31,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,813.70 : 56,322.93 = 22,910.42 : x
  2. Step 2: Convert to fraction form
    40,813.70/56,322.93 = 22,910.42/x
  3. Step 3: Cross multiply
    40,813.70x = 56,322.93 × 22,910.42
  4. Step 4: Simplify right side
    40,813.70x = 1,290,381,981.93
  5. Step 5: Solve for x
    x = 1,290,381,981.93/40,813.70
  6. Step 6: Final answer
    x = 31,616.39

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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.