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Finding the Fourth Proportional to 30,211.16, 45,298.92 and 9,144.80

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Solution

The fourth proportional to 30,211.16, 45,298.92 and 9,144.80 is: 13,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.16 : 45,298.92 = 9,144.80 : x
  2. Step 2: Convert to fraction form
    30,211.16/45,298.92 = 9,144.80/x
  3. Step 3: Cross multiply
    30,211.16x = 45,298.92 × 9,144.80
  4. Step 4: Simplify right side
    30,211.16x = 414,249,563.62
  5. Step 5: Solve for x
    x = 414,249,563.62/30,211.16
  6. Step 6: Final answer
    x = 13,711.81

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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.