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Finding the Fourth Proportional to 69,200.21, 103,767.50 and 35,886.93

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Solution

The fourth proportional to 69,200.21, 103,767.50 and 35,886.93 is: 53,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,200.21 : 103,767.50 = 35,886.93 : x
  2. Step 2: Convert to fraction form
    69,200.21/103,767.50 = 35,886.93/x
  3. Step 3: Cross multiply
    69,200.21x = 103,767.50 × 35,886.93
  4. Step 4: Simplify right side
    69,200.21x = 3,723,896,829.34
  5. Step 5: Solve for x
    x = 3,723,896,829.34/69,200.21
  6. Step 6: Final answer
    x = 53,813.38

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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.