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Finding the Fourth Proportional to 100,275.74, 150,410.52 and 41,066.81

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Solution

The fourth proportional to 100,275.74, 150,410.52 and 41,066.81 is: 61,598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,275.74 : 150,410.52 = 41,066.81 : x
  2. Step 2: Convert to fraction form
    100,275.74/150,410.52 = 41,066.81/x
  3. Step 3: Cross multiply
    100,275.74x = 150,410.52 × 41,066.81
  4. Step 4: Simplify right side
    100,275.74x = 6,176,880,622.87
  5. Step 5: Solve for x
    x = 6,176,880,622.87/100,275.74
  6. Step 6: Final answer
    x = 61,598.96

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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.