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Finding the Fourth Proportional to 100,598.48, 150,885.93 and 34,038.41

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Solution

The fourth proportional to 100,598.48, 150,885.93 and 34,038.41 is: 51,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,598.48 : 150,885.93 = 34,038.41 : x
  2. Step 2: Convert to fraction form
    100,598.48/150,885.93 = 34,038.41/x
  3. Step 3: Cross multiply
    100,598.48x = 150,885.93 × 34,038.41
  4. Step 4: Simplify right side
    100,598.48x = 5,135,917,148.57
  5. Step 5: Solve for x
    x = 5,135,917,148.57/100,598.48
  6. Step 6: Final answer
    x = 51,053.63

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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.