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Finding the Fourth Proportional to 71,825.74, 107,707.32 and 24,427.98

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Solution

The fourth proportional to 71,825.74, 107,707.32 and 24,427.98 is: 36,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,825.74 : 107,707.32 = 24,427.98 : x
  2. Step 2: Convert to fraction form
    71,825.74/107,707.32 = 24,427.98/x
  3. Step 3: Cross multiply
    71,825.74x = 107,707.32 × 24,427.98
  4. Step 4: Simplify right side
    71,825.74x = 2,631,072,258.81
  5. Step 5: Solve for x
    x = 2,631,072,258.81/71,825.74
  6. Step 6: Final answer
    x = 36,631.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.