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Finding the Fourth Proportional to 50,368.22, 69,506.68 and 27,707.22

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Solution

The fourth proportional to 50,368.22, 69,506.68 and 27,707.22 is: 38,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,368.22 : 69,506.68 = 27,707.22 : x
  2. Step 2: Convert to fraction form
    50,368.22/69,506.68 = 27,707.22/x
  3. Step 3: Cross multiply
    50,368.22x = 69,506.68 × 27,707.22
  4. Step 4: Simplify right side
    50,368.22x = 1,925,836,874.23
  5. Step 5: Solve for x
    x = 1,925,836,874.23/50,368.22
  6. Step 6: Final answer
    x = 38,235.16

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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.