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Finding the Fourth Proportional to 30,321.76, 45,478.72 and 9,545.44

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Solution

The fourth proportional to 30,321.76, 45,478.72 and 9,545.44 is: 14,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.76 : 45,478.72 = 9,545.44 : x
  2. Step 2: Convert to fraction form
    30,321.76/45,478.72 = 9,545.44/x
  3. Step 3: Cross multiply
    30,321.76x = 45,478.72 × 9,545.44
  4. Step 4: Simplify right side
    30,321.76x = 434,114,393.04
  5. Step 5: Solve for x
    x = 434,114,393.04/30,321.76
  6. Step 6: Final answer
    x = 14,316.93

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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.