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Finding the Fourth Proportional to 30,867.68, 46,301.16 and 7,494.11

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Solution

The fourth proportional to 30,867.68, 46,301.16 and 7,494.11 is: 11,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.68 : 46,301.16 = 7,494.11 : x
  2. Step 2: Convert to fraction form
    30,867.68/46,301.16 = 7,494.11/x
  3. Step 3: Cross multiply
    30,867.68x = 46,301.16 × 7,494.11
  4. Step 4: Simplify right side
    30,867.68x = 346,985,754.66
  5. Step 5: Solve for x
    x = 346,985,754.66/30,867.68
  6. Step 6: Final answer
    x = 11,241.07

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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.