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Finding the Fourth Proportional to 32,103.25, 44,303.78 and 17,762.83

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Solution

The fourth proportional to 32,103.25, 44,303.78 and 17,762.83 is: 24,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.25 : 44,303.78 = 17,762.83 : x
  2. Step 2: Convert to fraction form
    32,103.25/44,303.78 = 17,762.83/x
  3. Step 3: Cross multiply
    32,103.25x = 44,303.78 × 17,762.83
  4. Step 4: Simplify right side
    32,103.25x = 786,960,446.15
  5. Step 5: Solve for x
    x = 786,960,446.15/32,103.25
  6. Step 6: Final answer
    x = 24,513.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.