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Finding the Fourth Proportional to 36,024.48, 49,710.51 and 20,106

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Solution

The fourth proportional to 36,024.48, 49,710.51 and 20,106 is: 27,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024.48 : 49,710.51 = 20,106 : x
  2. Step 2: Convert to fraction form
    36,024.48/49,710.51 = 20,106/x
  3. Step 3: Cross multiply
    36,024.48x = 49,710.51 × 20,106
  4. Step 4: Simplify right side
    36,024.48x = 999,479,514.06
  5. Step 5: Solve for x
    x = 999,479,514.06/36,024.48
  6. Step 6: Final answer
    x = 27,744.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.