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Finding the Fourth Proportional to 32,756.96, 49,135.22 and 9,383.40

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Solution

The fourth proportional to 32,756.96, 49,135.22 and 9,383.40 is: 14,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,756.96 : 49,135.22 = 9,383.40 : x
  2. Step 2: Convert to fraction form
    32,756.96/49,135.22 = 9,383.40/x
  3. Step 3: Cross multiply
    32,756.96x = 49,135.22 × 9,383.40
  4. Step 4: Simplify right side
    32,756.96x = 461,055,423.35
  5. Step 5: Solve for x
    x = 461,055,423.35/32,756.96
  6. Step 6: Final answer
    x = 14,075.04

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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.