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Finding the Fourth Proportional to 61,406.60, 92,109.90 and 31,814.60

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Solution

The fourth proportional to 61,406.60, 92,109.90 and 31,814.60 is: 47,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,406.60 : 92,109.90 = 31,814.60 : x
  2. Step 2: Convert to fraction form
    61,406.60/92,109.90 = 31,814.60/x
  3. Step 3: Cross multiply
    61,406.60x = 92,109.90 × 31,814.60
  4. Step 4: Simplify right side
    61,406.60x = 2,930,439,624.54
  5. Step 5: Solve for x
    x = 2,930,439,624.54/61,406.60
  6. Step 6: Final answer
    x = 47,721.90

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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.