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Finding the Fourth Proportional to 97,436.49, 134,462.15 and 52,724.49

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Solution

The fourth proportional to 97,436.49, 134,462.15 and 52,724.49 is: 72,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,436.49 : 134,462.15 = 52,724.49 : x
  2. Step 2: Convert to fraction form
    97,436.49/134,462.15 = 52,724.49/x
  3. Step 3: Cross multiply
    97,436.49x = 134,462.15 × 52,724.49
  4. Step 4: Simplify right side
    97,436.49x = 7,089,448,019.43
  5. Step 5: Solve for x
    x = 7,089,448,019.43/97,436.49
  6. Step 6: Final answer
    x = 72,759.68

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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.