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Finding the Fourth Proportional to 31,905, 47,857.91 and 11,128.50

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Solution

The fourth proportional to 31,905, 47,857.91 and 11,128.50 is: 16,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905 : 47,857.91 = 11,128.50 : x
  2. Step 2: Convert to fraction form
    31,905/47,857.91 = 11,128.50/x
  3. Step 3: Cross multiply
    31,905x = 47,857.91 × 11,128.50
  4. Step 4: Simplify right side
    31,905x = 532,586,695.79
  5. Step 5: Solve for x
    x = 532,586,695.79/31,905
  6. Step 6: Final answer
    x = 16,692.89

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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.