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Finding the Fourth Proportional to 32,160.84, 48,245.93 and 9,976

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Solution

The fourth proportional to 32,160.84, 48,245.93 and 9,976 is: 14,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.84 : 48,245.93 = 9,976 : x
  2. Step 2: Convert to fraction form
    32,160.84/48,245.93 = 9,976/x
  3. Step 3: Cross multiply
    32,160.84x = 48,245.93 × 9,976
  4. Step 4: Simplify right side
    32,160.84x = 481,301,397.68
  5. Step 5: Solve for x
    x = 481,301,397.68/32,160.84
  6. Step 6: Final answer
    x = 14,965.45

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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.