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Finding the Fourth Proportional to 74,612.38, 102,905.72 and 52,769.92

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Solution

The fourth proportional to 74,612.38, 102,905.72 and 52,769.92 is: 72,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,612.38 : 102,905.72 = 52,769.92 : x
  2. Step 2: Convert to fraction form
    74,612.38/102,905.72 = 52,769.92/x
  3. Step 3: Cross multiply
    74,612.38x = 102,905.72 × 52,769.92
  4. Step 4: Simplify right side
    74,612.38x = 5,430,326,611.94
  5. Step 5: Solve for x
    x = 5,430,326,611.94/74,612.38
  6. Step 6: Final answer
    x = 72,780.50

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Why These Related Problems?

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