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Finding the Fourth Proportional to 70,351.48, 105,544.52 and 32,383

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Solution

The fourth proportional to 70,351.48, 105,544.52 and 32,383 is: 48,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,351.48 : 105,544.52 = 32,383 : x
  2. Step 2: Convert to fraction form
    70,351.48/105,544.52 = 32,383/x
  3. Step 3: Cross multiply
    70,351.48x = 105,544.52 × 32,383
  4. Step 4: Simplify right side
    70,351.48x = 3,417,848,191.16
  5. Step 5: Solve for x
    x = 3,417,848,191.16/70,351.48
  6. Step 6: Final answer
    x = 48,582.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.