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Finding the Fourth Proportional to 40,207.50, 55,478.12 and 22,298.67

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Solution

The fourth proportional to 40,207.50, 55,478.12 and 22,298.67 is: 30,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,207.50 : 55,478.12 = 22,298.67 : x
  2. Step 2: Convert to fraction form
    40,207.50/55,478.12 = 22,298.67/x
  3. Step 3: Cross multiply
    40,207.50x = 55,478.12 × 22,298.67
  4. Step 4: Simplify right side
    40,207.50x = 1,237,088,178.61
  5. Step 5: Solve for x
    x = 1,237,088,178.61/40,207.50
  6. Step 6: Final answer
    x = 30,767.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.