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Finding the Fourth Proportional to 78,142.78, 117,200.16 and 21,969.42

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Solution

The fourth proportional to 78,142.78, 117,200.16 and 21,969.42 is: 32,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,142.78 : 117,200.16 = 21,969.42 : x
  2. Step 2: Convert to fraction form
    78,142.78/117,200.16 = 21,969.42/x
  3. Step 3: Cross multiply
    78,142.78x = 117,200.16 × 21,969.42
  4. Step 4: Simplify right side
    78,142.78x = 2,574,819,539.11
  5. Step 5: Solve for x
    x = 2,574,819,539.11/78,142.78
  6. Step 6: Final answer
    x = 32,950.19

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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.