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Finding the Fourth Proportional to 30,298.26, 45,443.75 and 8,111.15

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Solution

The fourth proportional to 30,298.26, 45,443.75 and 8,111.15 is: 12,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298.26 : 45,443.75 = 8,111.15 : x
  2. Step 2: Convert to fraction form
    30,298.26/45,443.75 = 8,111.15/x
  3. Step 3: Cross multiply
    30,298.26x = 45,443.75 × 8,111.15
  4. Step 4: Simplify right side
    30,298.26x = 368,600,805.04
  5. Step 5: Solve for x
    x = 368,600,805.04/30,298.26
  6. Step 6: Final answer
    x = 12,165.74

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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.