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Finding the Fourth Proportional to 34,878.08, 48,114 and 22,785.64

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Solution

The fourth proportional to 34,878.08, 48,114 and 22,785.64 is: 31,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878.08 : 48,114 = 22,785.64 : x
  2. Step 2: Convert to fraction form
    34,878.08/48,114 = 22,785.64/x
  3. Step 3: Cross multiply
    34,878.08x = 48,114 × 22,785.64
  4. Step 4: Simplify right side
    34,878.08x = 1,096,308,282.96
  5. Step 5: Solve for x
    x = 1,096,308,282.96/34,878.08
  6. Step 6: Final answer
    x = 31,432.59

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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.