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Finding the Fourth Proportional to 31,932.63, 44,066.03 and 17,784.77

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Solution

The fourth proportional to 31,932.63, 44,066.03 and 17,784.77 is: 24,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932.63 : 44,066.03 = 17,784.77 : x
  2. Step 2: Convert to fraction form
    31,932.63/44,066.03 = 17,784.77/x
  3. Step 3: Cross multiply
    31,932.63x = 44,066.03 × 17,784.77
  4. Step 4: Simplify right side
    31,932.63x = 783,703,899.11
  5. Step 5: Solve for x
    x = 783,703,899.11/31,932.63
  6. Step 6: Final answer
    x = 24,542.42

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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.