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Finding the Fourth Proportional to 34,416.15, 47,496.72 and 19,310.25

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Solution

The fourth proportional to 34,416.15, 47,496.72 and 19,310.25 is: 26,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416.15 : 47,496.72 = 19,310.25 : x
  2. Step 2: Convert to fraction form
    34,416.15/47,496.72 = 19,310.25/x
  3. Step 3: Cross multiply
    34,416.15x = 47,496.72 × 19,310.25
  4. Step 4: Simplify right side
    34,416.15x = 917,173,537.38
  5. Step 5: Solve for x
    x = 917,173,537.38/34,416.15
  6. Step 6: Final answer
    x = 26,649.51

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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.