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Finding the Fourth Proportional to 40,186.50, 55,457.10 and 22,281.50

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Solution

The fourth proportional to 40,186.50, 55,457.10 and 22,281.50 is: 30,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,186.50 : 55,457.10 = 22,281.50 : x
  2. Step 2: Convert to fraction form
    40,186.50/55,457.10 = 22,281.50/x
  3. Step 3: Cross multiply
    40,186.50x = 55,457.10 × 22,281.50
  4. Step 4: Simplify right side
    40,186.50x = 1,235,667,373.65
  5. Step 5: Solve for x
    x = 1,235,667,373.65/40,186.50
  6. Step 6: Final answer
    x = 30,748.32

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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.