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Finding the Fourth Proportional to 65,333.38, 90,198.71 and 41,155.06

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Solution

The fourth proportional to 65,333.38, 90,198.71 and 41,155.06 is: 56,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,333.38 : 90,198.71 = 41,155.06 : x
  2. Step 2: Convert to fraction form
    65,333.38/90,198.71 = 41,155.06/x
  3. Step 3: Cross multiply
    65,333.38x = 90,198.71 × 41,155.06
  4. Step 4: Simplify right side
    65,333.38x = 3,712,133,116.20
  5. Step 5: Solve for x
    x = 3,712,133,116.20/65,333.38
  6. Step 6: Final answer
    x = 56,818.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.