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Finding the Fourth Proportional to 38,098.78, 57,090.76 and 33,946.21

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Solution

The fourth proportional to 38,098.78, 57,090.76 and 33,946.21 is: 50,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098.78 : 57,090.76 = 33,946.21 : x
  2. Step 2: Convert to fraction form
    38,098.78/57,090.76 = 33,946.21/x
  3. Step 3: Cross multiply
    38,098.78x = 57,090.76 × 33,946.21
  4. Step 4: Simplify right side
    38,098.78x = 1,938,014,928.02
  5. Step 5: Solve for x
    x = 1,938,014,928.02/38,098.78
  6. Step 6: Final answer
    x = 50,868.16

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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.