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Finding the Fourth Proportional to 47,005.59, 70,514.99 and 13,728.09

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Solution

The fourth proportional to 47,005.59, 70,514.99 and 13,728.09 is: 20,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,005.59 : 70,514.99 = 13,728.09 : x
  2. Step 2: Convert to fraction form
    47,005.59/70,514.99 = 13,728.09/x
  3. Step 3: Cross multiply
    47,005.59x = 70,514.99 × 13,728.09
  4. Step 4: Simplify right side
    47,005.59x = 968,036,129.07
  5. Step 5: Solve for x
    x = 968,036,129.07/47,005.59
  6. Step 6: Final answer
    x = 20,594.06

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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.