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Finding the Fourth Proportional to 31,014.70, 46,522.05 and 27,904.30

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Solution

The fourth proportional to 31,014.70, 46,522.05 and 27,904.30 is: 41,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014.70 : 46,522.05 = 27,904.30 : x
  2. Step 2: Convert to fraction form
    31,014.70/46,522.05 = 27,904.30/x
  3. Step 3: Cross multiply
    31,014.70x = 46,522.05 × 27,904.30
  4. Step 4: Simplify right side
    31,014.70x = 1,298,165,239.82
  5. Step 5: Solve for x
    x = 1,298,165,239.82/31,014.70
  6. Step 6: Final answer
    x = 41,856.45

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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.