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Finding the Fourth Proportional to 32,893.50, 49,362.93 and 28,506.54

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Solution

The fourth proportional to 32,893.50, 49,362.93 and 28,506.54 is: 42,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.50 : 49,362.93 = 28,506.54 : x
  2. Step 2: Convert to fraction form
    32,893.50/49,362.93 = 28,506.54/x
  3. Step 3: Cross multiply
    32,893.50x = 49,362.93 × 28,506.54
  4. Step 4: Simplify right side
    32,893.50x = 1,407,166,338.56
  5. Step 5: Solve for x
    x = 1,407,166,338.56/32,893.50
  6. Step 6: Final answer
    x = 42,779.47

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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.