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Finding the Fourth Proportional to 65,959.64, 98,775.30 and 46,145.42

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Solution

The fourth proportional to 65,959.64, 98,775.30 and 46,145.42 is: 69,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,959.64 : 98,775.30 = 46,145.42 : x
  2. Step 2: Convert to fraction form
    65,959.64/98,775.30 = 46,145.42/x
  3. Step 3: Cross multiply
    65,959.64x = 98,775.30 × 46,145.42
  4. Step 4: Simplify right side
    65,959.64x = 4,558,027,704.13
  5. Step 5: Solve for x
    x = 4,558,027,704.13/65,959.64
  6. Step 6: Final answer
    x = 69,103.28

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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.