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Finding the Fourth Proportional to 61,584.87, 92,348.60 and 31,994.76

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Solution

The fourth proportional to 61,584.87, 92,348.60 and 31,994.76 is: 47,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,584.87 : 92,348.60 = 31,994.76 : x
  2. Step 2: Convert to fraction form
    61,584.87/92,348.60 = 31,994.76/x
  3. Step 3: Cross multiply
    61,584.87x = 92,348.60 × 31,994.76
  4. Step 4: Simplify right side
    61,584.87x = 2,954,671,293.34
  5. Step 5: Solve for x
    x = 2,954,671,293.34/61,584.87
  6. Step 6: Final answer
    x = 47,977.23

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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.