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Finding the Fourth Proportional to 38,411.40, 57,617.10 and 33,803.40

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Solution

The fourth proportional to 38,411.40, 57,617.10 and 33,803.40 is: 50,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,411.40 : 57,617.10 = 33,803.40 : x
  2. Step 2: Convert to fraction form
    38,411.40/57,617.10 = 33,803.40/x
  3. Step 3: Cross multiply
    38,411.40x = 57,617.10 × 33,803.40
  4. Step 4: Simplify right side
    38,411.40x = 1,947,653,878.14
  5. Step 5: Solve for x
    x = 1,947,653,878.14/38,411.40
  6. Step 6: Final answer
    x = 50,705.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.