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Finding the Fourth Proportional to 42,704.86, 64,096.40 and 21,659.44

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Solution

The fourth proportional to 42,704.86, 64,096.40 and 21,659.44 is: 32,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,704.86 : 64,096.40 = 21,659.44 : x
  2. Step 2: Convert to fraction form
    42,704.86/64,096.40 = 21,659.44/x
  3. Step 3: Cross multiply
    42,704.86x = 64,096.40 × 21,659.44
  4. Step 4: Simplify right side
    42,704.86x = 1,388,292,130.02
  5. Step 5: Solve for x
    x = 1,388,292,130.02/42,704.86
  6. Step 6: Final answer
    x = 32,509.00

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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.