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Finding the Fourth Proportional to 75,909.01, 104,754.05 and 42,375.01

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Solution

The fourth proportional to 75,909.01, 104,754.05 and 42,375.01 is: 58,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909.01 : 104,754.05 = 42,375.01 : x
  2. Step 2: Convert to fraction form
    75,909.01/104,754.05 = 42,375.01/x
  3. Step 3: Cross multiply
    75,909.01x = 104,754.05 × 42,375.01
  4. Step 4: Simplify right side
    75,909.01x = 4,438,953,704.42
  5. Step 5: Solve for x
    x = 4,438,953,704.42/75,909.01
  6. Step 6: Final answer
    x = 58,477.30

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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.