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Finding the Fourth Proportional to 31,140, 42,992.64 and 19,981.44

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Solution

The fourth proportional to 31,140, 42,992.64 and 19,981.44 is: 27,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140 : 42,992.64 = 19,981.44 : x
  2. Step 2: Convert to fraction form
    31,140/42,992.64 = 19,981.44/x
  3. Step 3: Cross multiply
    31,140x = 42,992.64 × 19,981.44
  4. Step 4: Simplify right side
    31,140x = 859,054,856.60
  5. Step 5: Solve for x
    x = 859,054,856.60/31,140
  6. Step 6: Final answer
    x = 27,586.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.