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Finding the Fourth Proportional to 70,157.74, 105,242.04 and 23,410.54

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Solution

The fourth proportional to 70,157.74, 105,242.04 and 23,410.54 is: 35,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,157.74 : 105,242.04 = 23,410.54 : x
  2. Step 2: Convert to fraction form
    70,157.74/105,242.04 = 23,410.54/x
  3. Step 3: Cross multiply
    70,157.74x = 105,242.04 × 23,410.54
  4. Step 4: Simplify right side
    70,157.74x = 2,463,772,987.10
  5. Step 5: Solve for x
    x = 2,463,772,987.10/70,157.74
  6. Step 6: Final answer
    x = 35,117.62

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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.