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Finding the Fourth Proportional to 70,843.54, 97,734.74 and 42,157.45

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Solution

The fourth proportional to 70,843.54, 97,734.74 and 42,157.45 is: 58,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,843.54 : 97,734.74 = 42,157.45 : x
  2. Step 2: Convert to fraction form
    70,843.54/97,734.74 = 42,157.45/x
  3. Step 3: Cross multiply
    70,843.54x = 97,734.74 × 42,157.45
  4. Step 4: Simplify right side
    70,843.54x = 4,120,247,414.81
  5. Step 5: Solve for x
    x = 4,120,247,414.81/70,843.54
  6. Step 6: Final answer
    x = 58,159.82

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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.