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Finding the Fourth Proportional to 100,580.35, 150,870.88 and 34,021.03

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Solution

The fourth proportional to 100,580.35, 150,870.88 and 34,021.03 is: 51,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580.35 : 150,870.88 = 34,021.03 : x
  2. Step 2: Convert to fraction form
    100,580.35/150,870.88 = 34,021.03/x
  3. Step 3: Cross multiply
    100,580.35x = 150,870.88 × 34,021.03
  4. Step 4: Simplify right side
    100,580.35x = 5,132,781,980.25
  5. Step 5: Solve for x
    x = 5,132,781,980.25/100,580.35
  6. Step 6: Final answer
    x = 51,031.66

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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.