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Finding the Fourth Proportional to 75,103.34, 103,642.70 and 46,809

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Solution

The fourth proportional to 75,103.34, 103,642.70 and 46,809 is: 64,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,103.34 : 103,642.70 = 46,809 : x
  2. Step 2: Convert to fraction form
    75,103.34/103,642.70 = 46,809/x
  3. Step 3: Cross multiply
    75,103.34x = 103,642.70 × 46,809
  4. Step 4: Simplify right side
    75,103.34x = 4,851,410,910.26
  5. Step 5: Solve for x
    x = 4,851,410,910.26/75,103.34
  6. Step 6: Final answer
    x = 64,596.48

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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.