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Finding the Fourth Proportional to 87,257.42, 120,412.06 and 53,322.70

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Solution

The fourth proportional to 87,257.42, 120,412.06 and 53,322.70 is: 73,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,257.42 : 120,412.06 = 53,322.70 : x
  2. Step 2: Convert to fraction form
    87,257.42/120,412.06 = 53,322.70/x
  3. Step 3: Cross multiply
    87,257.42x = 120,412.06 × 53,322.70
  4. Step 4: Simplify right side
    87,257.42x = 6,420,696,151.76
  5. Step 5: Solve for x
    x = 6,420,696,151.76/87,257.42
  6. Step 6: Final answer
    x = 73,583.38

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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.