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Finding the Fourth Proportional to 31,262.88, 46,892.64 and 7,889.52

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Solution

The fourth proportional to 31,262.88, 46,892.64 and 7,889.52 is: 11,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.88 : 46,892.64 = 7,889.52 : x
  2. Step 2: Convert to fraction form
    31,262.88/46,892.64 = 7,889.52/x
  3. Step 3: Cross multiply
    31,262.88x = 46,892.64 × 7,889.52
  4. Step 4: Simplify right side
    31,262.88x = 369,960,421.13
  5. Step 5: Solve for x
    x = 369,960,421.13/31,262.88
  6. Step 6: Final answer
    x = 11,833.86

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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.