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Finding the Fourth Proportional to 85,214.90, 117,582.81 and 51,215.25

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Solution

The fourth proportional to 85,214.90, 117,582.81 and 51,215.25 is: 70,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214.90 : 117,582.81 = 51,215.25 : x
  2. Step 2: Convert to fraction form
    85,214.90/117,582.81 = 51,215.25/x
  3. Step 3: Cross multiply
    85,214.90x = 117,582.81 × 51,215.25
  4. Step 4: Simplify right side
    85,214.90x = 6,022,033,690.86
  5. Step 5: Solve for x
    x = 6,022,033,690.86/85,214.90
  6. Step 6: Final answer
    x = 70,668.79

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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.