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Finding the Fourth Proportional to 32,051.08, 48,074.46 and 13,583.08

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Solution

The fourth proportional to 32,051.08, 48,074.46 and 13,583.08 is: 20,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.08 : 48,074.46 = 13,583.08 : x
  2. Step 2: Convert to fraction form
    32,051.08/48,074.46 = 13,583.08/x
  3. Step 3: Cross multiply
    32,051.08x = 48,074.46 × 13,583.08
  4. Step 4: Simplify right side
    32,051.08x = 652,999,236.14
  5. Step 5: Solve for x
    x = 652,999,236.14/32,051.08
  6. Step 6: Final answer
    x = 20,373.70

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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.