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Finding the Fourth Proportional to 65,866, 90,895.08 and 36,058

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Solution

The fourth proportional to 65,866, 90,895.08 and 36,058 is: 49,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,866 : 90,895.08 = 36,058 : x
  2. Step 2: Convert to fraction form
    65,866/90,895.08 = 36,058/x
  3. Step 3: Cross multiply
    65,866x = 90,895.08 × 36,058
  4. Step 4: Simplify right side
    65,866x = 3,277,494,794.64
  5. Step 5: Solve for x
    x = 3,277,494,794.64/65,866
  6. Step 6: Final answer
    x = 49,760.04

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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.