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Finding the Fourth Proportional to 85,414.15, 128,175.90 and 49,875.40

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Solution

The fourth proportional to 85,414.15, 128,175.90 and 49,875.40 is: 74,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.15 : 128,175.90 = 49,875.40 : x
  2. Step 2: Convert to fraction form
    85,414.15/128,175.90 = 49,875.40/x
  3. Step 3: Cross multiply
    85,414.15x = 128,175.90 × 49,875.40
  4. Step 4: Simplify right side
    85,414.15x = 6,392,824,282.86
  5. Step 5: Solve for x
    x = 6,392,824,282.86/85,414.15
  6. Step 6: Final answer
    x = 74,845.03

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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.