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Finding the Fourth Proportional to 65,821.38, 90,827.34 and 40,316.10

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Solution

The fourth proportional to 65,821.38, 90,827.34 and 40,316.10 is: 55,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821.38 : 90,827.34 = 40,316.10 : x
  2. Step 2: Convert to fraction form
    65,821.38/90,827.34 = 40,316.10/x
  3. Step 3: Cross multiply
    65,821.38x = 90,827.34 × 40,316.10
  4. Step 4: Simplify right side
    65,821.38x = 3,661,804,122.17
  5. Step 5: Solve for x
    x = 3,661,804,122.17/65,821.38
  6. Step 6: Final answer
    x = 55,632.44

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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.