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Finding the Fourth Proportional to 100,545.32, 150,825 and 30,429.92

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Solution

The fourth proportional to 100,545.32, 150,825 and 30,429.92 is: 45,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,545.32 : 150,825 = 30,429.92 : x
  2. Step 2: Convert to fraction form
    100,545.32/150,825 = 30,429.92/x
  3. Step 3: Cross multiply
    100,545.32x = 150,825 × 30,429.92
  4. Step 4: Simplify right side
    100,545.32x = 4,589,592,684
  5. Step 5: Solve for x
    x = 4,589,592,684/100,545.32
  6. Step 6: Final answer
    x = 45,647.00

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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.