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Finding the Fourth Proportional to 30,424.15, 45,632.77 and 8,239.26

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Solution

The fourth proportional to 30,424.15, 45,632.77 and 8,239.26 is: 12,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424.15 : 45,632.77 = 8,239.26 : x
  2. Step 2: Convert to fraction form
    30,424.15/45,632.77 = 8,239.26/x
  3. Step 3: Cross multiply
    30,424.15x = 45,632.77 × 8,239.26
  4. Step 4: Simplify right side
    30,424.15x = 375,980,054.53
  5. Step 5: Solve for x
    x = 375,980,054.53/30,424.15
  6. Step 6: Final answer
    x = 12,357.95

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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.