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Finding the Fourth Proportional to 32,937.94, 49,406.37 and 7,977.82

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Solution

The fourth proportional to 32,937.94, 49,406.37 and 7,977.82 is: 11,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,937.94 : 49,406.37 = 7,977.82 : x
  2. Step 2: Convert to fraction form
    32,937.94/49,406.37 = 7,977.82/x
  3. Step 3: Cross multiply
    32,937.94x = 49,406.37 × 7,977.82
  4. Step 4: Simplify right side
    32,937.94x = 394,155,126.71
  5. Step 5: Solve for x
    x = 394,155,126.71/32,937.94
  6. Step 6: Final answer
    x = 11,966.60

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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.