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Finding the Fourth Proportional to 30,269.94, 45,409.14 and 10,545.60

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Solution

The fourth proportional to 30,269.94, 45,409.14 and 10,545.60 is: 15,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.94 : 45,409.14 = 10,545.60 : x
  2. Step 2: Convert to fraction form
    30,269.94/45,409.14 = 10,545.60/x
  3. Step 3: Cross multiply
    30,269.94x = 45,409.14 × 10,545.60
  4. Step 4: Simplify right side
    30,269.94x = 478,866,626.78
  5. Step 5: Solve for x
    x = 478,866,626.78/30,269.94
  6. Step 6: Final answer
    x = 15,819.87

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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.