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Finding the Fourth Proportional to 102,827.60, 154,253.72 and 36,253.96

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Solution

The fourth proportional to 102,827.60, 154,253.72 and 36,253.96 is: 54,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,827.60 : 154,253.72 = 36,253.96 : x
  2. Step 2: Convert to fraction form
    102,827.60/154,253.72 = 36,253.96/x
  3. Step 3: Cross multiply
    102,827.60x = 154,253.72 × 36,253.96
  4. Step 4: Simplify right side
    102,827.60x = 5,592,308,194.73
  5. Step 5: Solve for x
    x = 5,592,308,194.73/102,827.60
  6. Step 6: Final answer
    x = 54,385.28

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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.