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Finding the Fourth Proportional to 103,148.48, 154,697.52 and 33,013.28

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Solution

The fourth proportional to 103,148.48, 154,697.52 and 33,013.28 is: 49,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,148.48 : 154,697.52 = 33,013.28 : x
  2. Step 2: Convert to fraction form
    103,148.48/154,697.52 = 33,013.28/x
  3. Step 3: Cross multiply
    103,148.48x = 154,697.52 × 33,013.28
  4. Step 4: Simplify right side
    103,148.48x = 5,107,072,543.07
  5. Step 5: Solve for x
    x = 5,107,072,543.07/103,148.48
  6. Step 6: Final answer
    x = 49,511.85

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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.