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Finding the Fourth Proportional to 30,411.44, 45,618.42 and 10,434.66

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Solution

The fourth proportional to 30,411.44, 45,618.42 and 10,434.66 is: 15,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.44 : 45,618.42 = 10,434.66 : x
  2. Step 2: Convert to fraction form
    30,411.44/45,618.42 = 10,434.66/x
  3. Step 3: Cross multiply
    30,411.44x = 45,618.42 × 10,434.66
  4. Step 4: Simplify right side
    30,411.44x = 476,012,873.51
  5. Step 5: Solve for x
    x = 476,012,873.51/30,411.44
  6. Step 6: Final answer
    x = 15,652.43

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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.