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Finding the Fourth Proportional to 52,835.84, 72,914.28 and 31,616

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Solution

The fourth proportional to 52,835.84, 72,914.28 and 31,616 is: 43,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,835.84 : 72,914.28 = 31,616 : x
  2. Step 2: Convert to fraction form
    52,835.84/72,914.28 = 31,616/x
  3. Step 3: Cross multiply
    52,835.84x = 72,914.28 × 31,616
  4. Step 4: Simplify right side
    52,835.84x = 2,305,257,876.48
  5. Step 5: Solve for x
    x = 2,305,257,876.48/52,835.84
  6. Step 6: Final answer
    x = 43,630.57

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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.