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Finding the Fourth Proportional to 35,830.19, 49,443.54 and 19,914.10

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Solution

The fourth proportional to 35,830.19, 49,443.54 and 19,914.10 is: 27,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.19 : 49,443.54 = 19,914.10 : x
  2. Step 2: Convert to fraction form
    35,830.19/49,443.54 = 19,914.10/x
  3. Step 3: Cross multiply
    35,830.19x = 49,443.54 × 19,914.10
  4. Step 4: Simplify right side
    35,830.19x = 984,623,352.70
  5. Step 5: Solve for x
    x = 984,623,352.70/35,830.19
  6. Step 6: Final answer
    x = 27,480.27

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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.