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Finding the Fourth Proportional to 32,362, 48,542.94 and 18,501.28

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Solution

The fourth proportional to 32,362, 48,542.94 and 18,501.28 is: 27,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,362 : 48,542.94 = 18,501.28 : x
  2. Step 2: Convert to fraction form
    32,362/48,542.94 = 18,501.28/x
  3. Step 3: Cross multiply
    32,362x = 48,542.94 × 18,501.28
  4. Step 4: Simplify right side
    32,362x = 898,106,524.96
  5. Step 5: Solve for x
    x = 898,106,524.96/32,362
  6. Step 6: Final answer
    x = 27,751.89

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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.