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Finding the Fourth Proportional to 30,225.74, 45,338.53 and 8,039.12

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Solution

The fourth proportional to 30,225.74, 45,338.53 and 8,039.12 is: 12,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.74 : 45,338.53 = 8,039.12 : x
  2. Step 2: Convert to fraction form
    30,225.74/45,338.53 = 8,039.12/x
  3. Step 3: Cross multiply
    30,225.74x = 45,338.53 × 8,039.12
  4. Step 4: Simplify right side
    30,225.74x = 364,481,883.29
  5. Step 5: Solve for x
    x = 364,481,883.29/30,225.74
  6. Step 6: Final answer
    x = 12,058.66

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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.