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Finding the Fourth Proportional to 36,206.95, 49,967.56 and 20,296.51

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Solution

The fourth proportional to 36,206.95, 49,967.56 and 20,296.51 is: 28,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,206.95 : 49,967.56 = 20,296.51 : x
  2. Step 2: Convert to fraction form
    36,206.95/49,967.56 = 20,296.51/x
  3. Step 3: Cross multiply
    36,206.95x = 49,967.56 × 20,296.51
  4. Step 4: Simplify right side
    36,206.95x = 1,014,166,831.38
  5. Step 5: Solve for x
    x = 1,014,166,831.38/36,206.95
  6. Step 6: Final answer
    x = 28,010.28

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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.