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Finding the Fourth Proportional to 57,758.78, 79,683.38 and 35,094.10

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Solution

The fourth proportional to 57,758.78, 79,683.38 and 35,094.10 is: 48,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,758.78 : 79,683.38 = 35,094.10 : x
  2. Step 2: Convert to fraction form
    57,758.78/79,683.38 = 35,094.10/x
  3. Step 3: Cross multiply
    57,758.78x = 79,683.38 × 35,094.10
  4. Step 4: Simplify right side
    57,758.78x = 2,796,416,506.06
  5. Step 5: Solve for x
    x = 2,796,416,506.06/57,758.78
  6. Step 6: Final answer
    x = 48,415.44

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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.