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Finding the Fourth Proportional to 70,884.64, 106,448.31 and 47,343.47

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Solution

The fourth proportional to 70,884.64, 106,448.31 and 47,343.47 is: 71,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,884.64 : 106,448.31 = 47,343.47 : x
  2. Step 2: Convert to fraction form
    70,884.64/106,448.31 = 47,343.47/x
  3. Step 3: Cross multiply
    70,884.64x = 106,448.31 × 47,343.47
  4. Step 4: Simplify right side
    70,884.64x = 5,039,632,637.16
  5. Step 5: Solve for x
    x = 5,039,632,637.16/70,884.64
  6. Step 6: Final answer
    x = 71,096.26

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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.