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Finding the Fourth Proportional to 35,975.40, 53,963.10 and 9,682.80

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Solution

The fourth proportional to 35,975.40, 53,963.10 and 9,682.80 is: 14,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,975.40 : 53,963.10 = 9,682.80 : x
  2. Step 2: Convert to fraction form
    35,975.40/53,963.10 = 9,682.80/x
  3. Step 3: Cross multiply
    35,975.40x = 53,963.10 × 9,682.80
  4. Step 4: Simplify right side
    35,975.40x = 522,513,904.68
  5. Step 5: Solve for x
    x = 522,513,904.68/35,975.40
  6. Step 6: Final answer
    x = 14,524.20

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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.