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Finding the Fourth Proportional to 30,344.32, 45,510 and 9,556.48

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Solution

The fourth proportional to 30,344.32, 45,510 and 9,556.48 is: 14,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344.32 : 45,510 = 9,556.48 : x
  2. Step 2: Convert to fraction form
    30,344.32/45,510 = 9,556.48/x
  3. Step 3: Cross multiply
    30,344.32x = 45,510 × 9,556.48
  4. Step 4: Simplify right side
    30,344.32x = 434,915,404.80
  5. Step 5: Solve for x
    x = 434,915,404.80/30,344.32
  6. Step 6: Final answer
    x = 14,332.68

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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.