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Finding the Fourth Proportional to 52,584, 72,572.28 and 29,928.50

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Solution

The fourth proportional to 52,584, 72,572.28 and 29,928.50 is: 41,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,584 : 72,572.28 = 29,928.50 : x
  2. Step 2: Convert to fraction form
    52,584/72,572.28 = 29,928.50/x
  3. Step 3: Cross multiply
    52,584x = 72,572.28 × 29,928.50
  4. Step 4: Simplify right side
    52,584x = 2,171,979,481.98
  5. Step 5: Solve for x
    x = 2,171,979,481.98/52,584
  6. Step 6: Final answer
    x = 41,304.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.