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Finding the Fourth Proportional to 31,650.48, 47,476.18 and 8,276.92

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Solution

The fourth proportional to 31,650.48, 47,476.18 and 8,276.92 is: 12,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.48 : 47,476.18 = 8,276.92 : x
  2. Step 2: Convert to fraction form
    31,650.48/47,476.18 = 8,276.92/x
  3. Step 3: Cross multiply
    31,650.48x = 47,476.18 × 8,276.92
  4. Step 4: Simplify right side
    31,650.48x = 392,956,543.77
  5. Step 5: Solve for x
    x = 392,956,543.77/31,650.48
  6. Step 6: Final answer
    x = 12,415.50

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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.