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Finding the Fourth Proportional to 78,421.92, 117,566.75 and 34,015.23

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Solution

The fourth proportional to 78,421.92, 117,566.75 and 34,015.23 is: 50,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,421.92 : 117,566.75 = 34,015.23 : x
  2. Step 2: Convert to fraction form
    78,421.92/117,566.75 = 34,015.23/x
  3. Step 3: Cross multiply
    78,421.92x = 117,566.75 × 34,015.23
  4. Step 4: Simplify right side
    78,421.92x = 3,999,059,871.53
  5. Step 5: Solve for x
    x = 3,999,059,871.53/78,421.92
  6. Step 6: Final answer
    x = 50,994.16

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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.