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Finding the Fourth Proportional to 35,843.52, 53,758.02 and 34,065.20

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Solution

The fourth proportional to 35,843.52, 53,758.02 and 34,065.20 is: 51,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,843.52 : 53,758.02 = 34,065.20 : x
  2. Step 2: Convert to fraction form
    35,843.52/53,758.02 = 34,065.20/x
  3. Step 3: Cross multiply
    35,843.52x = 53,758.02 × 34,065.20
  4. Step 4: Simplify right side
    35,843.52x = 1,831,277,702.90
  5. Step 5: Solve for x
    x = 1,831,277,702.90/35,843.52
  6. Step 6: Final answer
    x = 51,090.90

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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.