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Finding the Fourth Proportional to 87,595.32, 131,392.94 and 28,431

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Solution

The fourth proportional to 87,595.32, 131,392.94 and 28,431 is: 42,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,595.32 : 131,392.94 = 28,431 : x
  2. Step 2: Convert to fraction form
    87,595.32/131,392.94 = 28,431/x
  3. Step 3: Cross multiply
    87,595.32x = 131,392.94 × 28,431
  4. Step 4: Simplify right side
    87,595.32x = 3,735,632,677.14
  5. Step 5: Solve for x
    x = 3,735,632,677.14/87,595.32
  6. Step 6: Final answer
    x = 42,646.49

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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.