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Finding the Fourth Proportional to 50,548.76, 75,828 and 15,482.24

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Solution

The fourth proportional to 50,548.76, 75,828 and 15,482.24 is: 23,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,548.76 : 75,828 = 15,482.24 : x
  2. Step 2: Convert to fraction form
    50,548.76/75,828 = 15,482.24/x
  3. Step 3: Cross multiply
    50,548.76x = 75,828 × 15,482.24
  4. Step 4: Simplify right side
    50,548.76x = 1,173,987,294.72
  5. Step 5: Solve for x
    x = 1,173,987,294.72/50,548.76
  6. Step 6: Final answer
    x = 23,224.85

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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.