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Finding the Fourth Proportional to 56,766.84, 85,160.58 and 23,468.82

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Solution

The fourth proportional to 56,766.84, 85,160.58 and 23,468.82 is: 35,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,766.84 : 85,160.58 = 23,468.82 : x
  2. Step 2: Convert to fraction form
    56,766.84/85,160.58 = 23,468.82/x
  3. Step 3: Cross multiply
    56,766.84x = 85,160.58 × 23,468.82
  4. Step 4: Simplify right side
    56,766.84x = 1,998,618,323.12
  5. Step 5: Solve for x
    x = 1,998,618,323.12/56,766.84
  6. Step 6: Final answer
    x = 35,207.50

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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.