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Finding the Fourth Proportional to 31,898.25, 44,019.59 and 17,752.01

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Solution

The fourth proportional to 31,898.25, 44,019.59 and 17,752.01 is: 24,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.25 : 44,019.59 = 17,752.01 : x
  2. Step 2: Convert to fraction form
    31,898.25/44,019.59 = 17,752.01/x
  3. Step 3: Cross multiply
    31,898.25x = 44,019.59 × 17,752.01
  4. Step 4: Simplify right side
    31,898.25x = 781,435,893.02
  5. Step 5: Solve for x
    x = 781,435,893.02/31,898.25
  6. Step 6: Final answer
    x = 24,497.77

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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.