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Finding the Fourth Proportional to 70,323.19, 105,343.44 and 32,831.53

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Solution

The fourth proportional to 70,323.19, 105,343.44 and 32,831.53 is: 49,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,323.19 : 105,343.44 = 32,831.53 : x
  2. Step 2: Convert to fraction form
    70,323.19/105,343.44 = 32,831.53/x
  3. Step 3: Cross multiply
    70,323.19x = 105,343.44 × 32,831.53
  4. Step 4: Simplify right side
    70,323.19x = 3,458,586,310.66
  5. Step 5: Solve for x
    x = 3,458,586,310.66/70,323.19
  6. Step 6: Final answer
    x = 49,181.31

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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.