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Finding the Fourth Proportional to 34,534.15, 51,796.10 and 9,571.60

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Solution

The fourth proportional to 34,534.15, 51,796.10 and 9,571.60 is: 14,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534.15 : 51,796.10 = 9,571.60 : x
  2. Step 2: Convert to fraction form
    34,534.15/51,796.10 = 9,571.60/x
  3. Step 3: Cross multiply
    34,534.15x = 51,796.10 × 9,571.60
  4. Step 4: Simplify right side
    34,534.15x = 495,771,373.41
  5. Step 5: Solve for x
    x = 495,771,373.41/34,534.15
  6. Step 6: Final answer
    x = 14,355.98

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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.