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Finding the Fourth Proportional to 32,114.93, 44,319.80 and 17,967.87

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Solution

The fourth proportional to 32,114.93, 44,319.80 and 17,967.87 is: 24,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.93 : 44,319.80 = 17,967.87 : x
  2. Step 2: Convert to fraction form
    32,114.93/44,319.80 = 17,967.87/x
  3. Step 3: Cross multiply
    32,114.93x = 44,319.80 × 17,967.87
  4. Step 4: Simplify right side
    32,114.93x = 796,332,515.63
  5. Step 5: Solve for x
    x = 796,332,515.63/32,114.93
  6. Step 6: Final answer
    x = 24,796.34

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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.