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Finding the Fourth Proportional to 47,710.84, 71,566.08 and 12,650.80

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Solution

The fourth proportional to 47,710.84, 71,566.08 and 12,650.80 is: 18,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,710.84 : 71,566.08 = 12,650.80 : x
  2. Step 2: Convert to fraction form
    47,710.84/71,566.08 = 12,650.80/x
  3. Step 3: Cross multiply
    47,710.84x = 71,566.08 × 12,650.80
  4. Step 4: Simplify right side
    47,710.84x = 905,368,164.86
  5. Step 5: Solve for x
    x = 905,368,164.86/47,710.84
  6. Step 6: Final answer
    x = 18,976.15

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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.