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Finding the Fourth Proportional to 32,114.06, 44,317.54 and 17,966.94

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Solution

The fourth proportional to 32,114.06, 44,317.54 and 17,966.94 is: 24,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.06 : 44,317.54 = 17,966.94 : x
  2. Step 2: Convert to fraction form
    32,114.06/44,317.54 = 17,966.94/x
  3. Step 3: Cross multiply
    32,114.06x = 44,317.54 × 17,966.94
  4. Step 4: Simplify right side
    32,114.06x = 796,250,582.13
  5. Step 5: Solve for x
    x = 796,250,582.13/32,114.06
  6. Step 6: Final answer
    x = 24,794.45

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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.