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Finding the Fourth Proportional to 32,993.76, 49,480.22 and 10,802.03

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Solution

The fourth proportional to 32,993.76, 49,480.22 and 10,802.03 is: 16,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,993.76 : 49,480.22 = 10,802.03 : x
  2. Step 2: Convert to fraction form
    32,993.76/49,480.22 = 10,802.03/x
  3. Step 3: Cross multiply
    32,993.76x = 49,480.22 × 10,802.03
  4. Step 4: Simplify right side
    32,993.76x = 534,486,971.55
  5. Step 5: Solve for x
    x = 534,486,971.55/32,993.76
  6. Step 6: Final answer
    x = 16,199.64

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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.