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Finding the Fourth Proportional to 34,257, 51,385.52 and 9,633

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Solution

The fourth proportional to 34,257, 51,385.52 and 9,633 is: 14,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,257 : 51,385.52 = 9,633 : x
  2. Step 2: Convert to fraction form
    34,257/51,385.52 = 9,633/x
  3. Step 3: Cross multiply
    34,257x = 51,385.52 × 9,633
  4. Step 4: Simplify right side
    34,257x = 494,996,714.16
  5. Step 5: Solve for x
    x = 494,996,714.16/34,257
  6. Step 6: Final answer
    x = 14,449.51

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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.