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Finding the Fourth Proportional to 49,314.51, 68,052.66 and 27,804.07

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Solution

The fourth proportional to 49,314.51, 68,052.66 and 27,804.07 is: 38,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,314.51 : 68,052.66 = 27,804.07 : x
  2. Step 2: Convert to fraction form
    49,314.51/68,052.66 = 27,804.07/x
  3. Step 3: Cross multiply
    49,314.51x = 68,052.66 × 27,804.07
  4. Step 4: Simplify right side
    49,314.51x = 1,892,140,582.06
  5. Step 5: Solve for x
    x = 1,892,140,582.06/49,314.51
  6. Step 6: Final answer
    x = 38,368.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.