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Finding the Fourth Proportional to 52,305.80, 78,458.70 and 31,310.60

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Solution

The fourth proportional to 52,305.80, 78,458.70 and 31,310.60 is: 46,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,305.80 : 78,458.70 = 31,310.60 : x
  2. Step 2: Convert to fraction form
    52,305.80/78,458.70 = 31,310.60/x
  3. Step 3: Cross multiply
    52,305.80x = 78,458.70 × 31,310.60
  4. Step 4: Simplify right side
    52,305.80x = 2,456,588,972.22
  5. Step 5: Solve for x
    x = 2,456,588,972.22/52,305.80
  6. Step 6: Final answer
    x = 46,965.90

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Similar ratio
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1.5x scale

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.