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Finding the Fourth Proportional to 30,258.78, 41,752.83 and 16,830.30

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Solution

The fourth proportional to 30,258.78, 41,752.83 and 16,830.30 is: 23,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258.78 : 41,752.83 = 16,830.30 : x
  2. Step 2: Convert to fraction form
    30,258.78/41,752.83 = 16,830.30/x
  3. Step 3: Cross multiply
    30,258.78x = 41,752.83 × 16,830.30
  4. Step 4: Simplify right side
    30,258.78x = 702,712,654.75
  5. Step 5: Solve for x
    x = 702,712,654.75/30,258.78
  6. Step 6: Final answer
    x = 23,223.43

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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.