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Finding the Fourth Proportional to 110,611.32, 165,970.38 and 54,420.96

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Solution

The fourth proportional to 110,611.32, 165,970.38 and 54,420.96 is: 81,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,611.32 : 165,970.38 = 54,420.96 : x
  2. Step 2: Convert to fraction form
    110,611.32/165,970.38 = 54,420.96/x
  3. Step 3: Cross multiply
    110,611.32x = 165,970.38 × 54,420.96
  4. Step 4: Simplify right side
    110,611.32x = 9,032,267,411.16
  5. Step 5: Solve for x
    x = 9,032,267,411.16/110,611.32
  6. Step 6: Final answer
    x = 81,657.71

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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.