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Finding the Fourth Proportional to 102,855.78, 154,300.95 and 32,756.58

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Solution

The fourth proportional to 102,855.78, 154,300.95 and 32,756.58 is: 49,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855.78 : 154,300.95 = 32,756.58 : x
  2. Step 2: Convert to fraction form
    102,855.78/154,300.95 = 32,756.58/x
  3. Step 3: Cross multiply
    102,855.78x = 154,300.95 × 32,756.58
  4. Step 4: Simplify right side
    102,855.78x = 5,054,371,412.75
  5. Step 5: Solve for x
    x = 5,054,371,412.75/102,855.78
  6. Step 6: Final answer
    x = 49,140.37

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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.