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Finding the Fourth Proportional to 30,967.11, 46,451.54 and 7,593.52

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Solution

The fourth proportional to 30,967.11, 46,451.54 and 7,593.52 is: 11,390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.11 : 46,451.54 = 7,593.52 : x
  2. Step 2: Convert to fraction form
    30,967.11/46,451.54 = 7,593.52/x
  3. Step 3: Cross multiply
    30,967.11x = 46,451.54 × 7,593.52
  4. Step 4: Simplify right side
    30,967.11x = 352,730,698.02
  5. Step 5: Solve for x
    x = 352,730,698.02/30,967.11
  6. Step 6: Final answer
    x = 11,390.49

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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.