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Finding the Fourth Proportional to 65,866.38, 90,895.34 and 35,652.20

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Solution

The fourth proportional to 65,866.38, 90,895.34 and 35,652.20 is: 49,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,866.38 : 90,895.34 = 35,652.20 : x
  2. Step 2: Convert to fraction form
    65,866.38/90,895.34 = 35,652.20/x
  3. Step 3: Cross multiply
    65,866.38x = 90,895.34 × 35,652.20
  4. Step 4: Simplify right side
    65,866.38x = 3,240,618,840.75
  5. Step 5: Solve for x
    x = 3,240,618,840.75/65,866.38
  6. Step 6: Final answer
    x = 49,199.89

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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.