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Finding the Fourth Proportional to 32,092.91, 48,134.91 and 9,907.01

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Solution

The fourth proportional to 32,092.91, 48,134.91 and 9,907.01 is: 14,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.91 : 48,134.91 = 9,907.01 : x
  2. Step 2: Convert to fraction form
    32,092.91/48,134.91 = 9,907.01/x
  3. Step 3: Cross multiply
    32,092.91x = 48,134.91 × 9,907.01
  4. Step 4: Simplify right side
    32,092.91x = 476,873,034.72
  5. Step 5: Solve for x
    x = 476,873,034.72/32,092.91
  6. Step 6: Final answer
    x = 14,859.14

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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.