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Finding the Fourth Proportional to 61,184.70, 91,842.66 and 31,594.59

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Solution

The fourth proportional to 61,184.70, 91,842.66 and 31,594.59 is: 47,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,184.70 : 91,842.66 = 31,594.59 : x
  2. Step 2: Convert to fraction form
    61,184.70/91,842.66 = 31,594.59/x
  3. Step 3: Cross multiply
    61,184.70x = 91,842.66 × 31,594.59
  4. Step 4: Simplify right side
    61,184.70x = 2,901,731,187.21
  5. Step 5: Solve for x
    x = 2,901,731,187.21/61,184.70
  6. Step 6: Final answer
    x = 47,425.76

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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.