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Finding the Fourth Proportional to 51,865, 71,569.44 and 29,196.75

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Solution

The fourth proportional to 51,865, 71,569.44 and 29,196.75 is: 40,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,865 : 71,569.44 = 29,196.75 : x
  2. Step 2: Convert to fraction form
    51,865/71,569.44 = 29,196.75/x
  3. Step 3: Cross multiply
    51,865x = 71,569.44 × 29,196.75
  4. Step 4: Simplify right side
    51,865x = 2,089,595,047.32
  5. Step 5: Solve for x
    x = 2,089,595,047.32/51,865
  6. Step 6: Final answer
    x = 40,289.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.