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Finding the Fourth Proportional to 32,978.33, 49,434.38 and 16,350.45

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Solution

The fourth proportional to 32,978.33, 49,434.38 and 16,350.45 is: 24,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978.33 : 49,434.38 = 16,350.45 : x
  2. Step 2: Convert to fraction form
    32,978.33/49,434.38 = 16,350.45/x
  3. Step 3: Cross multiply
    32,978.33x = 49,434.38 × 16,350.45
  4. Step 4: Simplify right side
    32,978.33x = 808,274,399.35
  5. Step 5: Solve for x
    x = 808,274,399.35/32,978.33
  6. Step 6: Final answer
    x = 24,509.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.