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Finding the Fourth Proportional to 30,140.82, 45,196.65 and 10,412.46

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Solution

The fourth proportional to 30,140.82, 45,196.65 and 10,412.46 is: 15,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.82 : 45,196.65 = 10,412.46 : x
  2. Step 2: Convert to fraction form
    30,140.82/45,196.65 = 10,412.46/x
  3. Step 3: Cross multiply
    30,140.82x = 45,196.65 × 10,412.46
  4. Step 4: Simplify right side
    30,140.82x = 470,608,310.26
  5. Step 5: Solve for x
    x = 470,608,310.26/30,140.82
  6. Step 6: Final answer
    x = 15,613.65

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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.