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Finding the Fourth Proportional to 78,965.42, 118,368.32 and 34,016.09

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Solution

The fourth proportional to 78,965.42, 118,368.32 and 34,016.09 is: 50,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,965.42 : 118,368.32 = 34,016.09 : x
  2. Step 2: Convert to fraction form
    78,965.42/118,368.32 = 34,016.09/x
  3. Step 3: Cross multiply
    78,965.42x = 118,368.32 × 34,016.09
  4. Step 4: Simplify right side
    78,965.42x = 4,026,426,664.35
  5. Step 5: Solve for x
    x = 4,026,426,664.35/78,965.42
  6. Step 6: Final answer
    x = 50,989.75

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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.