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Finding the Fourth Proportional to 125,206.32, 187,816.32 and 31,712.88

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Solution

The fourth proportional to 125,206.32, 187,816.32 and 31,712.88 is: 47,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,206.32 : 187,816.32 = 31,712.88 : x
  2. Step 2: Convert to fraction form
    125,206.32/187,816.32 = 31,712.88/x
  3. Step 3: Cross multiply
    125,206.32x = 187,816.32 × 31,712.88
  4. Step 4: Simplify right side
    125,206.32x = 5,956,196,418.20
  5. Step 5: Solve for x
    x = 5,956,196,418.20/125,206.32
  6. Step 6: Final answer
    x = 47,571.05

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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.