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Finding the Fourth Proportional to 32,203.63, 48,314.10 and 13,473.77

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Solution

The fourth proportional to 32,203.63, 48,314.10 and 13,473.77 is: 20,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.63 : 48,314.10 = 13,473.77 : x
  2. Step 2: Convert to fraction form
    32,203.63/48,314.10 = 13,473.77/x
  3. Step 3: Cross multiply
    32,203.63x = 48,314.10 × 13,473.77
  4. Step 4: Simplify right side
    32,203.63x = 650,973,071.16
  5. Step 5: Solve for x
    x = 650,973,071.16/32,203.63
  6. Step 6: Final answer
    x = 20,214.28

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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.