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Finding the Fourth Proportional to 125,210.32, 187,822.32 and 31,716.88

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Solution

The fourth proportional to 125,210.32, 187,822.32 and 31,716.88 is: 47,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,210.32 : 187,822.32 = 31,716.88 : x
  2. Step 2: Convert to fraction form
    125,210.32/187,822.32 = 31,716.88/x
  3. Step 3: Cross multiply
    125,210.32x = 187,822.32 × 31,716.88
  4. Step 4: Simplify right side
    125,210.32x = 5,957,137,984.76
  5. Step 5: Solve for x
    x = 5,957,137,984.76/125,210.32
  6. Step 6: Final answer
    x = 47,577.05

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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.