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Finding the Fourth Proportional to 30,092.42, 45,145.86 and 9,315.92

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Solution

The fourth proportional to 30,092.42, 45,145.86 and 9,315.92 is: 13,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,092.42 : 45,145.86 = 9,315.92 : x
  2. Step 2: Convert to fraction form
    30,092.42/45,145.86 = 9,315.92/x
  3. Step 3: Cross multiply
    30,092.42x = 45,145.86 × 9,315.92
  4. Step 4: Simplify right side
    30,092.42x = 420,575,220.09
  5. Step 5: Solve for x
    x = 420,575,220.09/30,092.42
  6. Step 6: Final answer
    x = 13,976.12

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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.