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Finding the Fourth Proportional to 62,123.15, 85,730.10 and 33,830.66

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Solution

The fourth proportional to 62,123.15, 85,730.10 and 33,830.66 is: 46,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,123.15 : 85,730.10 = 33,830.66 : x
  2. Step 2: Convert to fraction form
    62,123.15/85,730.10 = 33,830.66/x
  3. Step 3: Cross multiply
    62,123.15x = 85,730.10 × 33,830.66
  4. Step 4: Simplify right side
    62,123.15x = 2,900,305,952.33
  5. Step 5: Solve for x
    x = 2,900,305,952.33/62,123.15
  6. Step 6: Final answer
    x = 46,686.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.