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Finding the Fourth Proportional to 30,098.22, 45,151.65 and 9,316.86

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Solution

The fourth proportional to 30,098.22, 45,151.65 and 9,316.86 is: 13,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.22 : 45,151.65 = 9,316.86 : x
  2. Step 2: Convert to fraction form
    30,098.22/45,151.65 = 9,316.86/x
  3. Step 3: Cross multiply
    30,098.22x = 45,151.65 × 9,316.86
  4. Step 4: Simplify right side
    30,098.22x = 420,671,601.82
  5. Step 5: Solve for x
    x = 420,671,601.82/30,098.22
  6. Step 6: Final answer
    x = 13,976.63

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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.