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Finding the Fourth Proportional to 57,855.92, 79,817.60 and 37,705.46

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Solution

The fourth proportional to 57,855.92, 79,817.60 and 37,705.46 is: 52,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,855.92 : 79,817.60 = 37,705.46 : x
  2. Step 2: Convert to fraction form
    57,855.92/79,817.60 = 37,705.46/x
  3. Step 3: Cross multiply
    57,855.92x = 79,817.60 × 37,705.46
  4. Step 4: Simplify right side
    57,855.92x = 3,009,559,324.10
  5. Step 5: Solve for x
    x = 3,009,559,324.10/57,855.92
  6. Step 6: Final answer
    x = 52,018.17

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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.