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Finding the Fourth Proportional to 75,166.32, 112,740.52 and 19,766.64

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Solution

The fourth proportional to 75,166.32, 112,740.52 and 19,766.64 is: 29,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,166.32 : 112,740.52 = 19,766.64 : x
  2. Step 2: Convert to fraction form
    75,166.32/112,740.52 = 19,766.64/x
  3. Step 3: Cross multiply
    75,166.32x = 112,740.52 × 19,766.64
  4. Step 4: Simplify right side
    75,166.32x = 2,228,501,272.25
  5. Step 5: Solve for x
    x = 2,228,501,272.25/75,166.32
  6. Step 6: Final answer
    x = 29,647.60

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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.