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Finding the Fourth Proportional to 74,705.76, 103,094.64 and 41,172.96

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Solution

The fourth proportional to 74,705.76, 103,094.64 and 41,172.96 is: 56,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,705.76 : 103,094.64 = 41,172.96 : x
  2. Step 2: Convert to fraction form
    74,705.76/103,094.64 = 41,172.96/x
  3. Step 3: Cross multiply
    74,705.76x = 103,094.64 × 41,172.96
  4. Step 4: Simplify right side
    74,705.76x = 4,244,711,488.93
  5. Step 5: Solve for x
    x = 4,244,711,488.93/74,705.76
  6. Step 6: Final answer
    x = 56,819.07

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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.