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Finding the Fourth Proportional to 32,862.88, 49,259.04 and 11,782.64

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Solution

The fourth proportional to 32,862.88, 49,259.04 and 11,782.64 is: 17,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.88 : 49,259.04 = 11,782.64 : x
  2. Step 2: Convert to fraction form
    32,862.88/49,259.04 = 11,782.64/x
  3. Step 3: Cross multiply
    32,862.88x = 49,259.04 × 11,782.64
  4. Step 4: Simplify right side
    32,862.88x = 580,401,535.07
  5. Step 5: Solve for x
    x = 580,401,535.07/32,862.88
  6. Step 6: Final answer
    x = 17,661.31

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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.