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Finding the Fourth Proportional to 70,382.83, 97,135.31 and 40,172.74

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Solution

The fourth proportional to 70,382.83, 97,135.31 and 40,172.74 is: 55,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.83 : 97,135.31 = 40,172.74 : x
  2. Step 2: Convert to fraction form
    70,382.83/97,135.31 = 40,172.74/x
  3. Step 3: Cross multiply
    70,382.83x = 97,135.31 × 40,172.74
  4. Step 4: Simplify right side
    70,382.83x = 3,902,191,553.45
  5. Step 5: Solve for x
    x = 3,902,191,553.45/70,382.83
  6. Step 6: Final answer
    x = 55,442.38

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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.