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Finding the Fourth Proportional to 50,314.56, 75,484.80 and 19,152.24

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Solution

The fourth proportional to 50,314.56, 75,484.80 and 19,152.24 is: 28,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,314.56 : 75,484.80 = 19,152.24 : x
  2. Step 2: Convert to fraction form
    50,314.56/75,484.80 = 19,152.24/x
  3. Step 3: Cross multiply
    50,314.56x = 75,484.80 × 19,152.24
  4. Step 4: Simplify right side
    50,314.56x = 1,445,703,005.95
  5. Step 5: Solve for x
    x = 1,445,703,005.95/50,314.56
  6. Step 6: Final answer
    x = 28,733.29

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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.