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Finding the Fourth Proportional to 32,074.77, 44,261.40 and 17,733.77

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Solution

The fourth proportional to 32,074.77, 44,261.40 and 17,733.77 is: 24,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.77 : 44,261.40 = 17,733.77 : x
  2. Step 2: Convert to fraction form
    32,074.77/44,261.40 = 17,733.77/x
  3. Step 3: Cross multiply
    32,074.77x = 44,261.40 × 17,733.77
  4. Step 4: Simplify right side
    32,074.77x = 784,921,675.63
  5. Step 5: Solve for x
    x = 784,921,675.63/32,074.77
  6. Step 6: Final answer
    x = 24,471.62

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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.