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Finding the Fourth Proportional to 30,833.12, 46,249.76 and 7,459.52

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Solution

The fourth proportional to 30,833.12, 46,249.76 and 7,459.52 is: 11,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.12 : 46,249.76 = 7,459.52 : x
  2. Step 2: Convert to fraction form
    30,833.12/46,249.76 = 7,459.52/x
  3. Step 3: Cross multiply
    30,833.12x = 46,249.76 × 7,459.52
  4. Step 4: Simplify right side
    30,833.12x = 345,001,009.72
  5. Step 5: Solve for x
    x = 345,001,009.72/30,833.12
  6. Step 6: Final answer
    x = 11,189.30

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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.