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Finding the Fourth Proportional to 70,048.89, 96,667.74 and 38,218.50

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Solution

The fourth proportional to 70,048.89, 96,667.74 and 38,218.50 is: 52,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,048.89 : 96,667.74 = 38,218.50 : x
  2. Step 2: Convert to fraction form
    70,048.89/96,667.74 = 38,218.50/x
  3. Step 3: Cross multiply
    70,048.89x = 96,667.74 × 38,218.50
  4. Step 4: Simplify right side
    70,048.89x = 3,694,496,021.19
  5. Step 5: Solve for x
    x = 3,694,496,021.19/70,048.89
  6. Step 6: Final answer
    x = 52,741.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.