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Finding the Fourth Proportional to 50,506.74, 75,825.72 and 38,828.16

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Solution

The fourth proportional to 50,506.74, 75,825.72 and 38,828.16 is: 58,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506.74 : 75,825.72 = 38,828.16 : x
  2. Step 2: Convert to fraction form
    50,506.74/75,825.72 = 38,828.16/x
  3. Step 3: Cross multiply
    50,506.74x = 75,825.72 × 38,828.16
  4. Step 4: Simplify right side
    50,506.74x = 2,944,173,188.28
  5. Step 5: Solve for x
    x = 2,944,173,188.28/50,506.74
  6. Step 6: Final answer
    x = 58,292.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.