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Finding the Fourth Proportional to 30,108.96, 45,154.80 and 10,382.40

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Solution

The fourth proportional to 30,108.96, 45,154.80 and 10,382.40 is: 15,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,108.96 : 45,154.80 = 10,382.40 : x
  2. Step 2: Convert to fraction form
    30,108.96/45,154.80 = 10,382.40/x
  3. Step 3: Cross multiply
    30,108.96x = 45,154.80 × 10,382.40
  4. Step 4: Simplify right side
    30,108.96x = 468,815,195.52
  5. Step 5: Solve for x
    x = 468,815,195.52/30,108.96
  6. Step 6: Final answer
    x = 15,570.62

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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.