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Finding the Fourth Proportional to 30,144.43, 45,216.65 and 10,412.22

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Solution

The fourth proportional to 30,144.43, 45,216.65 and 10,412.22 is: 15,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.43 : 45,216.65 = 10,412.22 : x
  2. Step 2: Convert to fraction form
    30,144.43/45,216.65 = 10,412.22/x
  3. Step 3: Cross multiply
    30,144.43x = 45,216.65 × 10,412.22
  4. Step 4: Simplify right side
    30,144.43x = 470,805,655.40
  5. Step 5: Solve for x
    x = 470,805,655.40/30,144.43
  6. Step 6: Final answer
    x = 15,618.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.