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Finding the Fourth Proportional to 35,199.74, 52,804.01 and 11,509.67

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Solution

The fourth proportional to 35,199.74, 52,804.01 and 11,509.67 is: 17,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,199.74 : 52,804.01 = 11,509.67 : x
  2. Step 2: Convert to fraction form
    35,199.74/52,804.01 = 11,509.67/x
  3. Step 3: Cross multiply
    35,199.74x = 52,804.01 × 11,509.67
  4. Step 4: Simplify right side
    35,199.74x = 607,756,729.78
  5. Step 5: Solve for x
    x = 607,756,729.78/35,199.74
  6. Step 6: Final answer
    x = 17,265.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.