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Finding the Fourth Proportional to 32,004.30, 44,161.52 and 17,854.40

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Solution

The fourth proportional to 32,004.30, 44,161.52 and 17,854.40 is: 24,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.30 : 44,161.52 = 17,854.40 : x
  2. Step 2: Convert to fraction form
    32,004.30/44,161.52 = 17,854.40/x
  3. Step 3: Cross multiply
    32,004.30x = 44,161.52 × 17,854.40
  4. Step 4: Simplify right side
    32,004.30x = 788,477,442.69
  5. Step 5: Solve for x
    x = 788,477,442.69/32,004.30
  6. Step 6: Final answer
    x = 24,636.61

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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.