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Finding the Fourth Proportional to 34,244.01, 51,370.11 and 14,520

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Solution

The fourth proportional to 34,244.01, 51,370.11 and 14,520 is: 21,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,244.01 : 51,370.11 = 14,520 : x
  2. Step 2: Convert to fraction form
    34,244.01/51,370.11 = 14,520/x
  3. Step 3: Cross multiply
    34,244.01x = 51,370.11 × 14,520
  4. Step 4: Simplify right side
    34,244.01x = 745,893,997.20
  5. Step 5: Solve for x
    x = 745,893,997.20/34,244.01
  6. Step 6: Final answer
    x = 21,781.74

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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.