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Finding the Fourth Proportional to 100,492.94, 150,742.62 and 50,545.76

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Solution

The fourth proportional to 100,492.94, 150,742.62 and 50,545.76 is: 75,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,492.94 : 150,742.62 = 50,545.76 : x
  2. Step 2: Convert to fraction form
    100,492.94/150,742.62 = 50,545.76/x
  3. Step 3: Cross multiply
    100,492.94x = 150,742.62 × 50,545.76
  4. Step 4: Simplify right side
    100,492.94x = 7,619,400,292.29
  5. Step 5: Solve for x
    x = 7,619,400,292.29/100,492.94
  6. Step 6: Final answer
    x = 75,820.25

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Why These Related Problems?

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