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Finding the Fourth Proportional to 32,304.96, 48,457.64 and 10,116.63

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Solution

The fourth proportional to 32,304.96, 48,457.64 and 10,116.63 is: 15,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,304.96 : 48,457.64 = 10,116.63 : x
  2. Step 2: Convert to fraction form
    32,304.96/48,457.64 = 10,116.63/x
  3. Step 3: Cross multiply
    32,304.96x = 48,457.64 × 10,116.63
  4. Step 4: Simplify right side
    32,304.96x = 490,228,039.84
  5. Step 5: Solve for x
    x = 490,228,039.84/32,304.96
  6. Step 6: Final answer
    x = 15,175.01

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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.