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Finding the Fourth Proportional to 32,697.12, 49,041 and 10,507.58

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Solution

The fourth proportional to 32,697.12, 49,041 and 10,507.58 is: 15,759.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.12 : 49,041 = 10,507.58 : x
  2. Step 2: Convert to fraction form
    32,697.12/49,041 = 10,507.58/x
  3. Step 3: Cross multiply
    32,697.12x = 49,041 × 10,507.58
  4. Step 4: Simplify right side
    32,697.12x = 515,301,985.58
  5. Step 5: Solve for x
    x = 515,301,985.58/32,697.12
  6. Step 6: Final answer
    x = 15,759.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.