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Finding the Fourth Proportional to 58,234.60, 87,416.70 and 31,990.60

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Solution

The fourth proportional to 58,234.60, 87,416.70 and 31,990.60 is: 48,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,234.60 : 87,416.70 = 31,990.60 : x
  2. Step 2: Convert to fraction form
    58,234.60/87,416.70 = 31,990.60/x
  3. Step 3: Cross multiply
    58,234.60x = 87,416.70 × 31,990.60
  4. Step 4: Simplify right side
    58,234.60x = 2,796,512,683.02
  5. Step 5: Solve for x
    x = 2,796,512,683.02/58,234.60
  6. Step 6: Final answer
    x = 48,021.50

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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.