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Finding the Fourth Proportional to 35,948.66, 49,582.71 and 23,827.19

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Solution

The fourth proportional to 35,948.66, 49,582.71 and 23,827.19 is: 32,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,948.66 : 49,582.71 = 23,827.19 : x
  2. Step 2: Convert to fraction form
    35,948.66/49,582.71 = 23,827.19/x
  3. Step 3: Cross multiply
    35,948.66x = 49,582.71 × 23,827.19
  4. Step 4: Simplify right side
    35,948.66x = 1,181,416,403.97
  5. Step 5: Solve for x
    x = 1,181,416,403.97/35,948.66
  6. Step 6: Final answer
    x = 32,863.99

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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.