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Finding the Fourth Proportional to 32,569.46, 44,945.84 and 17,665.46

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Solution

The fourth proportional to 32,569.46, 44,945.84 and 17,665.46 is: 24,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,569.46 : 44,945.84 = 17,665.46 : x
  2. Step 2: Convert to fraction form
    32,569.46/44,945.84 = 17,665.46/x
  3. Step 3: Cross multiply
    32,569.46x = 44,945.84 × 17,665.46
  4. Step 4: Simplify right side
    32,569.46x = 793,988,850.36
  5. Step 5: Solve for x
    x = 793,988,850.36/32,569.46
  6. Step 6: Final answer
    x = 24,378.32

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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.