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Finding the Fourth Proportional to 36,417.87, 50,182.74 and 27,920.16

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Solution

The fourth proportional to 36,417.87, 50,182.74 and 27,920.16 is: 38,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,417.87 : 50,182.74 = 27,920.16 : x
  2. Step 2: Convert to fraction form
    36,417.87/50,182.74 = 27,920.16/x
  3. Step 3: Cross multiply
    36,417.87x = 50,182.74 × 27,920.16
  4. Step 4: Simplify right side
    36,417.87x = 1,401,110,130.04
  5. Step 5: Solve for x
    x = 1,401,110,130.04/36,417.87
  6. Step 6: Final answer
    x = 38,473.15

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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.