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Finding the Fourth Proportional to 75,053.89, 112,594.48 and 35,610.64

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Solution

The fourth proportional to 75,053.89, 112,594.48 and 35,610.64 is: 53,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,053.89 : 112,594.48 = 35,610.64 : x
  2. Step 2: Convert to fraction form
    75,053.89/112,594.48 = 35,610.64/x
  3. Step 3: Cross multiply
    75,053.89x = 112,594.48 × 35,610.64
  4. Step 4: Simplify right side
    75,053.89x = 4,009,561,122.75
  5. Step 5: Solve for x
    x = 4,009,561,122.75/75,053.89
  6. Step 6: Final answer
    x = 53,422.43

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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.