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Finding the Fourth Proportional to 35,114.66, 48,458.24 and 19,199.24

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Solution

The fourth proportional to 35,114.66, 48,458.24 and 19,199.24 is: 26,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114.66 : 48,458.24 = 19,199.24 : x
  2. Step 2: Convert to fraction form
    35,114.66/48,458.24 = 19,199.24/x
  3. Step 3: Cross multiply
    35,114.66x = 48,458.24 × 19,199.24
  4. Step 4: Simplify right side
    35,114.66x = 930,361,379.74
  5. Step 5: Solve for x
    x = 930,361,379.74/35,114.66
  6. Step 6: Final answer
    x = 26,494.96

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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.