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Finding the Fourth Proportional to 35,524.36, 53,289.78 and 10,564.21

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Solution

The fourth proportional to 35,524.36, 53,289.78 and 10,564.21 is: 15,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,524.36 : 53,289.78 = 10,564.21 : x
  2. Step 2: Convert to fraction form
    35,524.36/53,289.78 = 10,564.21/x
  3. Step 3: Cross multiply
    35,524.36x = 53,289.78 × 10,564.21
  4. Step 4: Simplify right side
    35,524.36x = 562,964,426.77
  5. Step 5: Solve for x
    x = 562,964,426.77/35,524.36
  6. Step 6: Final answer
    x = 15,847.28

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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.