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Finding the Fourth Proportional to 86,214, 118,975.32 and 48,489.06

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Solution

The fourth proportional to 86,214, 118,975.32 and 48,489.06 is: 66,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,214 : 118,975.32 = 48,489.06 : x
  2. Step 2: Convert to fraction form
    86,214/118,975.32 = 48,489.06/x
  3. Step 3: Cross multiply
    86,214x = 118,975.32 × 48,489.06
  4. Step 4: Simplify right side
    86,214x = 5,769,001,430.00
  5. Step 5: Solve for x
    x = 5,769,001,430.00/86,214
  6. Step 6: Final answer
    x = 66,914.90

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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.