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Finding the Fourth Proportional to 34,758.63, 52,137.59 and 8,463.51

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Solution

The fourth proportional to 34,758.63, 52,137.59 and 8,463.51 is: 12,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,758.63 : 52,137.59 = 8,463.51 : x
  2. Step 2: Convert to fraction form
    34,758.63/52,137.59 = 8,463.51/x
  3. Step 3: Cross multiply
    34,758.63x = 52,137.59 × 8,463.51
  4. Step 4: Simplify right side
    34,758.63x = 441,266,972.02
  5. Step 5: Solve for x
    x = 441,266,972.02/34,758.63
  6. Step 6: Final answer
    x = 12,695.18

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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.