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Finding the Fourth Proportional to 30,301.67, 45,452.09 and 10,580.19

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Solution

The fourth proportional to 30,301.67, 45,452.09 and 10,580.19 is: 15,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301.67 : 45,452.09 = 10,580.19 : x
  2. Step 2: Convert to fraction form
    30,301.67/45,452.09 = 10,580.19/x
  3. Step 3: Cross multiply
    30,301.67x = 45,452.09 × 10,580.19
  4. Step 4: Simplify right side
    30,301.67x = 480,891,695.20
  5. Step 5: Solve for x
    x = 480,891,695.20/30,301.67
  6. Step 6: Final answer
    x = 15,870.14

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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.