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Finding the Fourth Proportional to 73,615.16, 110,364.24 and 32,033

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Solution

The fourth proportional to 73,615.16, 110,364.24 and 32,033 is: 48,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,615.16 : 110,364.24 = 32,033 : x
  2. Step 2: Convert to fraction form
    73,615.16/110,364.24 = 32,033/x
  3. Step 3: Cross multiply
    73,615.16x = 110,364.24 × 32,033
  4. Step 4: Simplify right side
    73,615.16x = 3,535,297,699.92
  5. Step 5: Solve for x
    x = 3,535,297,699.92/73,615.16
  6. Step 6: Final answer
    x = 48,024.04

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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.