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Finding the Fourth Proportional to 53,081.60, 73,239.34 and 34,196

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Solution

The fourth proportional to 53,081.60, 73,239.34 and 34,196 is: 47,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,081.60 : 73,239.34 = 34,196 : x
  2. Step 2: Convert to fraction form
    53,081.60/73,239.34 = 34,196/x
  3. Step 3: Cross multiply
    53,081.60x = 73,239.34 × 34,196
  4. Step 4: Simplify right side
    53,081.60x = 2,504,492,470.64
  5. Step 5: Solve for x
    x = 2,504,492,470.64/53,081.60
  6. Step 6: Final answer
    x = 47,181.93

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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.