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Finding the Fourth Proportional to 102,894.90, 154,353.69 and 32,757.90

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Solution

The fourth proportional to 102,894.90, 154,353.69 and 32,757.90 is: 49,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,894.90 : 154,353.69 = 32,757.90 : x
  2. Step 2: Convert to fraction form
    102,894.90/154,353.69 = 32,757.90/x
  3. Step 3: Cross multiply
    102,894.90x = 154,353.69 × 32,757.90
  4. Step 4: Simplify right side
    102,894.90x = 5,056,302,741.65
  5. Step 5: Solve for x
    x = 5,056,302,741.65/102,894.90
  6. Step 6: Final answer
    x = 49,140.46

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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.