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Finding the Fourth Proportional to 47,511.64, 71,262 and 12,454.06

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Solution

The fourth proportional to 47,511.64, 71,262 and 12,454.06 is: 18,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,511.64 : 71,262 = 12,454.06 : x
  2. Step 2: Convert to fraction form
    47,511.64/71,262 = 12,454.06/x
  3. Step 3: Cross multiply
    47,511.64x = 71,262 × 12,454.06
  4. Step 4: Simplify right side
    47,511.64x = 887,501,223.72
  5. Step 5: Solve for x
    x = 887,501,223.72/47,511.64
  6. Step 6: Final answer
    x = 18,679.66

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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.