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Finding the Fourth Proportional to 30,545.68, 45,825.70 and 9,484.64

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Solution

The fourth proportional to 30,545.68, 45,825.70 and 9,484.64 is: 14,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545.68 : 45,825.70 = 9,484.64 : x
  2. Step 2: Convert to fraction form
    30,545.68/45,825.70 = 9,484.64/x
  3. Step 3: Cross multiply
    30,545.68x = 45,825.70 × 9,484.64
  4. Step 4: Simplify right side
    30,545.68x = 434,640,267.25
  5. Step 5: Solve for x
    x = 434,640,267.25/30,545.68
  6. Step 6: Final answer
    x = 14,229.19

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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.