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Finding the Fourth Proportional to 31,702.32, 43,746.36 and 17,551.44

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Solution

The fourth proportional to 31,702.32, 43,746.36 and 17,551.44 is: 24,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.32 : 43,746.36 = 17,551.44 : x
  2. Step 2: Convert to fraction form
    31,702.32/43,746.36 = 17,551.44/x
  3. Step 3: Cross multiply
    31,702.32x = 43,746.36 × 17,551.44
  4. Step 4: Simplify right side
    31,702.32x = 767,811,612.76
  5. Step 5: Solve for x
    x = 767,811,612.76/31,702.32
  6. Step 6: Final answer
    x = 24,219.41

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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.