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Finding the Fourth Proportional to 50,106.16, 75,112.74 and 18,498.76

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Solution

The fourth proportional to 50,106.16, 75,112.74 and 18,498.76 is: 27,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,106.16 : 75,112.74 = 18,498.76 : x
  2. Step 2: Convert to fraction form
    50,106.16/75,112.74 = 18,498.76/x
  3. Step 3: Cross multiply
    50,106.16x = 75,112.74 × 18,498.76
  4. Step 4: Simplify right side
    50,106.16x = 1,389,492,550.20
  5. Step 5: Solve for x
    x = 1,389,492,550.20/50,106.16
  6. Step 6: Final answer
    x = 27,730.97

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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.