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Finding the Fourth Proportional to 31,692.74, 47,536.02 and 8,319.18

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Solution

The fourth proportional to 31,692.74, 47,536.02 and 8,319.18 is: 12,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.74 : 47,536.02 = 8,319.18 : x
  2. Step 2: Convert to fraction form
    31,692.74/47,536.02 = 8,319.18/x
  3. Step 3: Cross multiply
    31,692.74x = 47,536.02 × 8,319.18
  4. Step 4: Simplify right side
    31,692.74x = 395,460,706.86
  5. Step 5: Solve for x
    x = 395,460,706.86/31,692.74
  6. Step 6: Final answer
    x = 12,477.96

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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.