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Finding the Fourth Proportional to 40,289.29, 55,599.29 and 22,384.32

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Solution

The fourth proportional to 40,289.29, 55,599.29 and 22,384.32 is: 30,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,289.29 : 55,599.29 = 22,384.32 : x
  2. Step 2: Convert to fraction form
    40,289.29/55,599.29 = 22,384.32/x
  3. Step 3: Cross multiply
    40,289.29x = 55,599.29 × 22,384.32
  4. Step 4: Simplify right side
    40,289.29x = 1,244,551,909.21
  5. Step 5: Solve for x
    x = 1,244,551,909.21/40,289.29
  6. Step 6: Final answer
    x = 30,890.39

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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.