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Finding the Fourth Proportional to 52,152.36, 71,951.40 and 34,257

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Solution

The fourth proportional to 52,152.36, 71,951.40 and 34,257 is: 47,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152.36 : 71,951.40 = 34,257 : x
  2. Step 2: Convert to fraction form
    52,152.36/71,951.40 = 34,257/x
  3. Step 3: Cross multiply
    52,152.36x = 71,951.40 × 34,257
  4. Step 4: Simplify right side
    52,152.36x = 2,464,839,109.80
  5. Step 5: Solve for x
    x = 2,464,839,109.80/52,152.36
  6. Step 6: Final answer
    x = 47,262.27

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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.