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Finding the Fourth Proportional to 78,066.81, 117,116.42 and 31,323.33

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Solution

The fourth proportional to 78,066.81, 117,116.42 and 31,323.33 is: 46,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,066.81 : 117,116.42 = 31,323.33 : x
  2. Step 2: Convert to fraction form
    78,066.81/117,116.42 = 31,323.33/x
  3. Step 3: Cross multiply
    78,066.81x = 117,116.42 × 31,323.33
  4. Step 4: Simplify right side
    78,066.81x = 3,668,476,115.46
  5. Step 5: Solve for x
    x = 3,668,476,115.46/78,066.81
  6. Step 6: Final answer
    x = 46,991.50

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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.