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Finding the Fourth Proportional to 32,782.80, 49,145.40 and 11,712.72

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Solution

The fourth proportional to 32,782.80, 49,145.40 and 11,712.72 is: 17,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.80 : 49,145.40 = 11,712.72 : x
  2. Step 2: Convert to fraction form
    32,782.80/49,145.40 = 11,712.72/x
  3. Step 3: Cross multiply
    32,782.80x = 49,145.40 × 11,712.72
  4. Step 4: Simplify right side
    32,782.80x = 575,626,309.49
  5. Step 5: Solve for x
    x = 575,626,309.49/32,782.80
  6. Step 6: Final answer
    x = 17,558.79

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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.