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Finding the Fourth Proportional to 32,011.68, 44,175.68 and 17,864.32

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Solution

The fourth proportional to 32,011.68, 44,175.68 and 17,864.32 is: 24,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.68 : 44,175.68 = 17,864.32 : x
  2. Step 2: Convert to fraction form
    32,011.68/44,175.68 = 17,864.32/x
  3. Step 3: Cross multiply
    32,011.68x = 44,175.68 × 17,864.32
  4. Step 4: Simplify right side
    32,011.68x = 789,168,483.74
  5. Step 5: Solve for x
    x = 789,168,483.74/32,011.68
  6. Step 6: Final answer
    x = 24,652.52

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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.