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Finding the Fourth Proportional to 34,497.30, 51,702.68 and 14,752.68

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Solution

The fourth proportional to 34,497.30, 51,702.68 and 14,752.68 is: 22,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497.30 : 51,702.68 = 14,752.68 : x
  2. Step 2: Convert to fraction form
    34,497.30/51,702.68 = 14,752.68/x
  3. Step 3: Cross multiply
    34,497.30x = 51,702.68 × 14,752.68
  4. Step 4: Simplify right side
    34,497.30x = 762,753,093.18
  5. Step 5: Solve for x
    x = 762,753,093.18/34,497.30
  6. Step 6: Final answer
    x = 22,110.52

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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.