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Finding the Fourth Proportional to 32,582.86, 44,968.14 and 19,843.51

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Solution

The fourth proportional to 32,582.86, 44,968.14 and 19,843.51 is: 27,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,582.86 : 44,968.14 = 19,843.51 : x
  2. Step 2: Convert to fraction form
    32,582.86/44,968.14 = 19,843.51/x
  3. Step 3: Cross multiply
    32,582.86x = 44,968.14 × 19,843.51
  4. Step 4: Simplify right side
    32,582.86x = 892,325,715.09
  5. Step 5: Solve for x
    x = 892,325,715.09/32,582.86
  6. Step 6: Final answer
    x = 27,386.35

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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.