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Finding the Fourth Proportional to 32,783.40, 49,171.32 and 9,092.70

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Solution

The fourth proportional to 32,783.40, 49,171.32 and 9,092.70 is: 13,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.40 : 49,171.32 = 9,092.70 : x
  2. Step 2: Convert to fraction form
    32,783.40/49,171.32 = 9,092.70/x
  3. Step 3: Cross multiply
    32,783.40x = 49,171.32 × 9,092.70
  4. Step 4: Simplify right side
    32,783.40x = 447,100,061.36
  5. Step 5: Solve for x
    x = 447,100,061.36/32,783.40
  6. Step 6: Final answer
    x = 13,638.00

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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.