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Finding the Fourth Proportional to 29,677.12, 40,982.20 and 19,085.16

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Solution

The fourth proportional to 29,677.12, 40,982.20 and 19,085.16 is: 26,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.12 : 40,982.20 = 19,085.16 : x
  2. Step 2: Convert to fraction form
    29,677.12/40,982.20 = 19,085.16/x
  3. Step 3: Cross multiply
    29,677.12x = 40,982.20 × 19,085.16
  4. Step 4: Simplify right side
    29,677.12x = 782,151,844.15
  5. Step 5: Solve for x
    x = 782,151,844.15/29,677.12
  6. Step 6: Final answer
    x = 26,355.38

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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.