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Finding the Fourth Proportional to 103,883.91, 155,702.82 and 47,676.66

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Solution

The fourth proportional to 103,883.91, 155,702.82 and 47,676.66 is: 71,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,883.91 : 155,702.82 = 47,676.66 : x
  2. Step 2: Convert to fraction form
    103,883.91/155,702.82 = 47,676.66/x
  3. Step 3: Cross multiply
    103,883.91x = 155,702.82 × 47,676.66
  4. Step 4: Simplify right side
    103,883.91x = 7,423,390,410.18
  5. Step 5: Solve for x
    x = 7,423,390,410.18/103,883.91
  6. Step 6: Final answer
    x = 71,458.52

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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.