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Finding the Fourth Proportional to 52,700.49, 78,961.46 and 31,880.25

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Solution

The fourth proportional to 52,700.49, 78,961.46 and 31,880.25 is: 47,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,700.49 : 78,961.46 = 31,880.25 : x
  2. Step 2: Convert to fraction form
    52,700.49/78,961.46 = 31,880.25/x
  3. Step 3: Cross multiply
    52,700.49x = 78,961.46 × 31,880.25
  4. Step 4: Simplify right side
    52,700.49x = 2,517,310,925.76
  5. Step 5: Solve for x
    x = 2,517,310,925.76/52,700.49
  6. Step 6: Final answer
    x = 47,766.37

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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.