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Finding the Fourth Proportional to 32,130.96, 44,338.64 and 17,983.68

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Solution

The fourth proportional to 32,130.96, 44,338.64 and 17,983.68 is: 24,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,130.96 : 44,338.64 = 17,983.68 : x
  2. Step 2: Convert to fraction form
    32,130.96/44,338.64 = 17,983.68/x
  3. Step 3: Cross multiply
    32,130.96x = 44,338.64 × 17,983.68
  4. Step 4: Simplify right side
    32,130.96x = 797,371,913.40
  5. Step 5: Solve for x
    x = 797,371,913.40/32,130.96
  6. Step 6: Final answer
    x = 24,816.31

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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.