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Finding the Fourth Proportional to 125,211.94, 187,824.75 and 31,718.50

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Solution

The fourth proportional to 125,211.94, 187,824.75 and 31,718.50 is: 47,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,211.94 : 187,824.75 = 31,718.50 : x
  2. Step 2: Convert to fraction form
    125,211.94/187,824.75 = 31,718.50/x
  3. Step 3: Cross multiply
    125,211.94x = 187,824.75 × 31,718.50
  4. Step 4: Simplify right side
    125,211.94x = 5,957,519,332.88
  5. Step 5: Solve for x
    x = 5,957,519,332.88/125,211.94
  6. Step 6: Final answer
    x = 47,579.48

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