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Finding the Fourth Proportional to 110,558.50, 165,863.67 and 36,686.50

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Solution

The fourth proportional to 110,558.50, 165,863.67 and 36,686.50 is: 55,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,558.50 : 165,863.67 = 36,686.50 : x
  2. Step 2: Convert to fraction form
    110,558.50/165,863.67 = 36,686.50/x
  3. Step 3: Cross multiply
    110,558.50x = 165,863.67 × 36,686.50
  4. Step 4: Simplify right side
    110,558.50x = 6,084,957,529.46
  5. Step 5: Solve for x
    x = 6,084,957,529.46/110,558.50
  6. Step 6: Final answer
    x = 55,038.35

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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.