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Finding the Fourth Proportional to 103,149.42, 154,726.28 and 33,028.53

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Solution

The fourth proportional to 103,149.42, 154,726.28 and 33,028.53 is: 49,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,149.42 : 154,726.28 = 33,028.53 : x
  2. Step 2: Convert to fraction form
    103,149.42/154,726.28 = 33,028.53/x
  3. Step 3: Cross multiply
    103,149.42x = 154,726.28 × 33,028.53
  4. Step 4: Simplify right side
    103,149.42x = 5,110,381,580.77
  5. Step 5: Solve for x
    x = 5,110,381,580.77/103,149.42
  6. Step 6: Final answer
    x = 49,543.48

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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.