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Finding the Fourth Proportional to 30,412.44, 45,625.77 and 10,422.15

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Solution

The fourth proportional to 30,412.44, 45,625.77 and 10,422.15 is: 15,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.44 : 45,625.77 = 10,422.15 : x
  2. Step 2: Convert to fraction form
    30,412.44/45,625.77 = 10,422.15/x
  3. Step 3: Cross multiply
    30,412.44x = 45,625.77 × 10,422.15
  4. Step 4: Simplify right side
    30,412.44x = 475,518,618.81
  5. Step 5: Solve for x
    x = 475,518,618.81/30,412.44
  6. Step 6: Final answer
    x = 15,635.66

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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.