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Finding the Fourth Proportional to 90,356.13, 135,658.32 and 46,012.68

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Solution

The fourth proportional to 90,356.13, 135,658.32 and 46,012.68 is: 69,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,356.13 : 135,658.32 = 46,012.68 : x
  2. Step 2: Convert to fraction form
    90,356.13/135,658.32 = 46,012.68/x
  3. Step 3: Cross multiply
    90,356.13x = 135,658.32 × 46,012.68
  4. Step 4: Simplify right side
    90,356.13x = 6,242,002,867.50
  5. Step 5: Solve for x
    x = 6,242,002,867.50/90,356.13
  6. Step 6: Final answer
    x = 69,082.23

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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.