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Finding the Fourth Proportional to 87,185, 130,778.72 and 24,855.50

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Solution

The fourth proportional to 87,185, 130,778.72 and 24,855.50 is: 37,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,185 : 130,778.72 = 24,855.50 : x
  2. Step 2: Convert to fraction form
    87,185/130,778.72 = 24,855.50/x
  3. Step 3: Cross multiply
    87,185x = 130,778.72 × 24,855.50
  4. Step 4: Simplify right side
    87,185x = 3,250,570,474.96
  5. Step 5: Solve for x
    x = 3,250,570,474.96/87,185
  6. Step 6: Final answer
    x = 37,283.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.