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Finding the Fourth Proportional to 31,901.73, 47,859.51 and 9,714.52

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Solution

The fourth proportional to 31,901.73, 47,859.51 and 9,714.52 is: 14,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.73 : 47,859.51 = 9,714.52 : x
  2. Step 2: Convert to fraction form
    31,901.73/47,859.51 = 9,714.52/x
  3. Step 3: Cross multiply
    31,901.73x = 47,859.51 × 9,714.52
  4. Step 4: Simplify right side
    31,901.73x = 464,932,118.51
  5. Step 5: Solve for x
    x = 464,932,118.51/31,901.73
  6. Step 6: Final answer
    x = 14,573.89

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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.