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Finding the Fourth Proportional to 35,830.90, 49,445.58 and 19,914.40

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Solution

The fourth proportional to 35,830.90, 49,445.58 and 19,914.40 is: 27,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.90 : 49,445.58 = 19,914.40 : x
  2. Step 2: Convert to fraction form
    35,830.90/49,445.58 = 19,914.40/x
  3. Step 3: Cross multiply
    35,830.90x = 49,445.58 × 19,914.40
  4. Step 4: Simplify right side
    35,830.90x = 984,679,058.35
  5. Step 5: Solve for x
    x = 984,679,058.35/35,830.90
  6. Step 6: Final answer
    x = 27,481.28

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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.