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Finding the Fourth Proportional to 53,714.76, 74,121.30 and 49,751.88

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Solution

The fourth proportional to 53,714.76, 74,121.30 and 49,751.88 is: 68,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,714.76 : 74,121.30 = 49,751.88 : x
  2. Step 2: Convert to fraction form
    53,714.76/74,121.30 = 49,751.88/x
  3. Step 3: Cross multiply
    53,714.76x = 74,121.30 × 49,751.88
  4. Step 4: Simplify right side
    53,714.76x = 3,687,674,023.04
  5. Step 5: Solve for x
    x = 3,687,674,023.04/53,714.76
  6. Step 6: Final answer
    x = 68,652.90

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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.