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Finding the Fourth Proportional to 47,234.32, 70,847.16 and 14,402.32

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Solution

The fourth proportional to 47,234.32, 70,847.16 and 14,402.32 is: 21,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,234.32 : 70,847.16 = 14,402.32 : x
  2. Step 2: Convert to fraction form
    47,234.32/70,847.16 = 14,402.32/x
  3. Step 3: Cross multiply
    47,234.32x = 70,847.16 × 14,402.32
  4. Step 4: Simplify right side
    47,234.32x = 1,020,363,469.41
  5. Step 5: Solve for x
    x = 1,020,363,469.41/47,234.32
  6. Step 6: Final answer
    x = 21,602.16

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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.