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Finding the Fourth Proportional to 120,573.64, 180,844.86 and 31,833.82

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Solution

The fourth proportional to 120,573.64, 180,844.86 and 31,833.82 is: 47,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,573.64 : 180,844.86 = 31,833.82 : x
  2. Step 2: Convert to fraction form
    120,573.64/180,844.86 = 31,833.82/x
  3. Step 3: Cross multiply
    120,573.64x = 180,844.86 × 31,833.82
  4. Step 4: Simplify right side
    120,573.64x = 5,756,982,721.17
  5. Step 5: Solve for x
    x = 5,756,982,721.17/120,573.64
  6. Step 6: Final answer
    x = 47,746.61

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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.