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Finding the Fourth Proportional to 30,258.06, 41,756.21 and 16,829.42

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Solution

The fourth proportional to 30,258.06, 41,756.21 and 16,829.42 is: 23,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258.06 : 41,756.21 = 16,829.42 : x
  2. Step 2: Convert to fraction form
    30,258.06/41,756.21 = 16,829.42/x
  3. Step 3: Cross multiply
    30,258.06x = 41,756.21 × 16,829.42
  4. Step 4: Simplify right side
    30,258.06x = 702,732,800.76
  5. Step 5: Solve for x
    x = 702,732,800.76/30,258.06
  6. Step 6: Final answer
    x = 23,224.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.