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Finding the Fourth Proportional to 33,130.35, 49,698.77 and 9,438.93

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Solution

The fourth proportional to 33,130.35, 49,698.77 and 9,438.93 is: 14,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,130.35 : 49,698.77 = 9,438.93 : x
  2. Step 2: Convert to fraction form
    33,130.35/49,698.77 = 9,438.93/x
  3. Step 3: Cross multiply
    33,130.35x = 49,698.77 × 9,438.93
  4. Step 4: Simplify right side
    33,130.35x = 469,103,163.92
  5. Step 5: Solve for x
    x = 469,103,163.92/33,130.35
  6. Step 6: Final answer
    x = 14,159.32

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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.