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Finding the Fourth Proportional to 32,766.91, 49,137.87 and 11,703.01

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Solution

The fourth proportional to 32,766.91, 49,137.87 and 11,703.01 is: 17,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,766.91 : 49,137.87 = 11,703.01 : x
  2. Step 2: Convert to fraction form
    32,766.91/49,137.87 = 11,703.01/x
  3. Step 3: Cross multiply
    32,766.91x = 49,137.87 × 11,703.01
  4. Step 4: Simplify right side
    32,766.91x = 575,060,983.99
  5. Step 5: Solve for x
    x = 575,060,983.99/32,766.91
  6. Step 6: Final answer
    x = 17,550.05

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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.