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Finding the Fourth Proportional to 47,196.52, 65,120.74 and 27,313

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Solution

The fourth proportional to 47,196.52, 65,120.74 and 27,313 is: 37,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,196.52 : 65,120.74 = 27,313 : x
  2. Step 2: Convert to fraction form
    47,196.52/65,120.74 = 27,313/x
  3. Step 3: Cross multiply
    47,196.52x = 65,120.74 × 27,313
  4. Step 4: Simplify right side
    47,196.52x = 1,778,642,771.62
  5. Step 5: Solve for x
    x = 1,778,642,771.62/47,196.52
  6. Step 6: Final answer
    x = 37,685.89

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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.