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Finding the Fourth Proportional to 32,046.54, 44,224.06 and 17,706.36

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Solution

The fourth proportional to 32,046.54, 44,224.06 and 17,706.36 is: 24,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.54 : 44,224.06 = 17,706.36 : x
  2. Step 2: Convert to fraction form
    32,046.54/44,224.06 = 17,706.36/x
  3. Step 3: Cross multiply
    32,046.54x = 44,224.06 × 17,706.36
  4. Step 4: Simplify right side
    32,046.54x = 783,047,127.02
  5. Step 5: Solve for x
    x = 783,047,127.02/32,046.54
  6. Step 6: Final answer
    x = 24,434.69

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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.