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Finding the Fourth Proportional to 47,005.96, 70,515.53 and 13,728.49

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Solution

The fourth proportional to 47,005.96, 70,515.53 and 13,728.49 is: 20,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,005.96 : 70,515.53 = 13,728.49 : x
  2. Step 2: Convert to fraction form
    47,005.96/70,515.53 = 13,728.49/x
  3. Step 3: Cross multiply
    47,005.96x = 70,515.53 × 13,728.49
  4. Step 4: Simplify right side
    47,005.96x = 968,071,327.23
  5. Step 5: Solve for x
    x = 968,071,327.23/47,005.96
  6. Step 6: Final answer
    x = 20,594.65

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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.