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Finding the Fourth Proportional to 35,824.79, 53,737 and 9,170.73

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Solution

The fourth proportional to 35,824.79, 53,737 and 9,170.73 is: 13,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,824.79 : 53,737 = 9,170.73 : x
  2. Step 2: Convert to fraction form
    35,824.79/53,737 = 9,170.73/x
  3. Step 3: Cross multiply
    35,824.79x = 53,737 × 9,170.73
  4. Step 4: Simplify right side
    35,824.79x = 492,807,518.01
  5. Step 5: Solve for x
    x = 492,807,518.01/35,824.79
  6. Step 6: Final answer
    x = 13,756.05

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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.