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Finding the Fourth Proportional to 49,196.42, 67,878.98 and 28,775.31

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Solution

The fourth proportional to 49,196.42, 67,878.98 and 28,775.31 is: 39,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196.42 : 67,878.98 = 28,775.31 : x
  2. Step 2: Convert to fraction form
    49,196.42/67,878.98 = 28,775.31/x
  3. Step 3: Cross multiply
    49,196.42x = 67,878.98 × 28,775.31
  4. Step 4: Simplify right side
    49,196.42x = 1,953,238,594.22
  5. Step 5: Solve for x
    x = 1,953,238,594.22/49,196.42
  6. Step 6: Final answer
    x = 39,702.86

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