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Finding the Fourth Proportional to 35,657.48, 49,182.14 and 23,714.84

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Solution

The fourth proportional to 35,657.48, 49,182.14 and 23,714.84 is: 32,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.48 : 49,182.14 = 23,714.84 : x
  2. Step 2: Convert to fraction form
    35,657.48/49,182.14 = 23,714.84/x
  3. Step 3: Cross multiply
    35,657.48x = 49,182.14 × 23,714.84
  4. Step 4: Simplify right side
    35,657.48x = 1,166,346,580.96
  5. Step 5: Solve for x
    x = 1,166,346,580.96/35,657.48
  6. Step 6: Final answer
    x = 32,709.73

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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.