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Finding the Fourth Proportional to 100,026.16, 150,035.16 and 25,146.80

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Solution

The fourth proportional to 100,026.16, 150,035.16 and 25,146.80 is: 37,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,026.16 : 150,035.16 = 25,146.80 : x
  2. Step 2: Convert to fraction form
    100,026.16/150,035.16 = 25,146.80/x
  3. Step 3: Cross multiply
    100,026.16x = 150,035.16 × 25,146.80
  4. Step 4: Simplify right side
    100,026.16x = 3,772,904,161.49
  5. Step 5: Solve for x
    x = 3,772,904,161.49/100,026.16
  6. Step 6: Final answer
    x = 37,719.17

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1.5x scale

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.