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Finding the Fourth Proportional to 36,929.90, 50,948.78 and 22,758.14

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Solution

The fourth proportional to 36,929.90, 50,948.78 and 22,758.14 is: 31,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,929.90 : 50,948.78 = 22,758.14 : x
  2. Step 2: Convert to fraction form
    36,929.90/50,948.78 = 22,758.14/x
  3. Step 3: Cross multiply
    36,929.90x = 50,948.78 × 22,758.14
  4. Step 4: Simplify right side
    36,929.90x = 1,159,499,468.07
  5. Step 5: Solve for x
    x = 1,159,499,468.07/36,929.90
  6. Step 6: Final answer
    x = 31,397.31

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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.