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Finding the Fourth Proportional to 78,423.49, 117,569.11 and 34,016.81

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Solution

The fourth proportional to 78,423.49, 117,569.11 and 34,016.81 is: 50,996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,423.49 : 117,569.11 = 34,016.81 : x
  2. Step 2: Convert to fraction form
    78,423.49/117,569.11 = 34,016.81/x
  3. Step 3: Cross multiply
    78,423.49x = 117,569.11 × 34,016.81
  4. Step 4: Simplify right side
    78,423.49x = 3,999,326,076.74
  5. Step 5: Solve for x
    x = 3,999,326,076.74/78,423.49
  6. Step 6: Final answer
    x = 50,996.53

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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.