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Finding the Fourth Proportional to 56,651.04, 78,177.42 and 31,500

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Solution

The fourth proportional to 56,651.04, 78,177.42 and 31,500 is: 43,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,651.04 : 78,177.42 = 31,500 : x
  2. Step 2: Convert to fraction form
    56,651.04/78,177.42 = 31,500/x
  3. Step 3: Cross multiply
    56,651.04x = 78,177.42 × 31,500
  4. Step 4: Simplify right side
    56,651.04x = 2,462,588,730
  5. Step 5: Solve for x
    x = 2,462,588,730/56,651.04
  6. Step 6: Final answer
    x = 43,469.44

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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.