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Finding the Fourth Proportional to 100,025, 150,038.94 and 26,153

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Solution

The fourth proportional to 100,025, 150,038.94 and 26,153 is: 39,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,025 : 150,038.94 = 26,153 : x
  2. Step 2: Convert to fraction form
    100,025/150,038.94 = 26,153/x
  3. Step 3: Cross multiply
    100,025x = 150,038.94 × 26,153
  4. Step 4: Simplify right side
    100,025x = 3,923,968,397.82
  5. Step 5: Solve for x
    x = 3,923,968,397.82/100,025
  6. Step 6: Final answer
    x = 39,229.88

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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.