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Finding the Fourth Proportional to 32,762.72, 49,097.10 and 18,693.56

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Solution

The fourth proportional to 32,762.72, 49,097.10 and 18,693.56 is: 28,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.72 : 49,097.10 = 18,693.56 : x
  2. Step 2: Convert to fraction form
    32,762.72/49,097.10 = 18,693.56/x
  3. Step 3: Cross multiply
    32,762.72x = 49,097.10 × 18,693.56
  4. Step 4: Simplify right side
    32,762.72x = 917,799,584.68
  5. Step 5: Solve for x
    x = 917,799,584.68/32,762.72
  6. Step 6: Final answer
    x = 28,013.53

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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.