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Finding the Fourth Proportional to 30,007.10, 45,010.66 and 7,820.42

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Solution

The fourth proportional to 30,007.10, 45,010.66 and 7,820.42 is: 11,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.10 : 45,010.66 = 7,820.42 : x
  2. Step 2: Convert to fraction form
    30,007.10/45,010.66 = 7,820.42/x
  3. Step 3: Cross multiply
    30,007.10x = 45,010.66 × 7,820.42
  4. Step 4: Simplify right side
    30,007.10x = 352,002,265.68
  5. Step 5: Solve for x
    x = 352,002,265.68/30,007.10
  6. Step 6: Final answer
    x = 11,730.63

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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.