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Finding the Fourth Proportional to 46,189.88, 63,742.07 and 24,969.14

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Solution

The fourth proportional to 46,189.88, 63,742.07 and 24,969.14 is: 34,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,189.88 : 63,742.07 = 24,969.14 : x
  2. Step 2: Convert to fraction form
    46,189.88/63,742.07 = 24,969.14/x
  3. Step 3: Cross multiply
    46,189.88x = 63,742.07 × 24,969.14
  4. Step 4: Simplify right side
    46,189.88x = 1,591,584,544.87
  5. Step 5: Solve for x
    x = 1,591,584,544.87/46,189.88
  6. Step 6: Final answer
    x = 34,457.43

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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.