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Finding the Fourth Proportional to 47,709.12, 71,565.30 and 12,652.32

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Solution

The fourth proportional to 47,709.12, 71,565.30 and 12,652.32 is: 18,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709.12 : 71,565.30 = 12,652.32 : x
  2. Step 2: Convert to fraction form
    47,709.12/71,565.30 = 12,652.32/x
  3. Step 3: Cross multiply
    47,709.12x = 71,565.30 × 12,652.32
  4. Step 4: Simplify right side
    47,709.12x = 905,467,076.50
  5. Step 5: Solve for x
    x = 905,467,076.50/47,709.12
  6. Step 6: Final answer
    x = 18,978.91

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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.