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Finding the Fourth Proportional to 103,148.42, 154,724.78 and 33,027.53

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Solution

The fourth proportional to 103,148.42, 154,724.78 and 33,027.53 is: 49,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,148.42 : 154,724.78 = 33,027.53 : x
  2. Step 2: Convert to fraction form
    103,148.42/154,724.78 = 33,027.53/x
  3. Step 3: Cross multiply
    103,148.42x = 154,724.78 × 33,027.53
  4. Step 4: Simplify right side
    103,148.42x = 5,110,176,622.14
  5. Step 5: Solve for x
    x = 5,110,176,622.14/103,148.42
  6. Step 6: Final answer
    x = 49,541.98

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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.