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Finding the Fourth Proportional to 32,653.04, 48,950.20 and 11,862

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Solution

The fourth proportional to 32,653.04, 48,950.20 and 11,862 is: 17,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653.04 : 48,950.20 = 11,862 : x
  2. Step 2: Convert to fraction form
    32,653.04/48,950.20 = 11,862/x
  3. Step 3: Cross multiply
    32,653.04x = 48,950.20 × 11,862
  4. Step 4: Simplify right side
    32,653.04x = 580,647,272.40
  5. Step 5: Solve for x
    x = 580,647,272.40/32,653.04
  6. Step 6: Final answer
    x = 17,782.33

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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.