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Finding the Fourth Proportional to 30,330.96, 45,496.44 and 11,850

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Solution

The fourth proportional to 30,330.96, 45,496.44 and 11,850 is: 17,775

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,330.96 : 45,496.44 = 11,850 : x
  2. Step 2: Convert to fraction form
    30,330.96/45,496.44 = 11,850/x
  3. Step 3: Cross multiply
    30,330.96x = 45,496.44 × 11,850
  4. Step 4: Simplify right side
    30,330.96x = 539,132,814
  5. Step 5: Solve for x
    x = 539,132,814/30,330.96
  6. Step 6: Final answer
    x = 17,775

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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.