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Finding the Fourth Proportional to 52,205.66, 72,042.78 and 29,544.23

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Solution

The fourth proportional to 52,205.66, 72,042.78 and 29,544.23 is: 40,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.66 : 72,042.78 = 29,544.23 : x
  2. Step 2: Convert to fraction form
    52,205.66/72,042.78 = 29,544.23/x
  3. Step 3: Cross multiply
    52,205.66x = 72,042.78 × 29,544.23
  4. Step 4: Simplify right side
    52,205.66x = 2,128,448,101.95
  5. Step 5: Solve for x
    x = 2,128,448,101.95/52,205.66
  6. Step 6: Final answer
    x = 40,770.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.