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Finding the Fourth Proportional to 35,893.69, 49,533.29 and 19,977.80

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Solution

The fourth proportional to 35,893.69, 49,533.29 and 19,977.80 is: 27,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,893.69 : 49,533.29 = 19,977.80 : x
  2. Step 2: Convert to fraction form
    35,893.69/49,533.29 = 19,977.80/x
  3. Step 3: Cross multiply
    35,893.69x = 49,533.29 × 19,977.80
  4. Step 4: Simplify right side
    35,893.69x = 989,565,888.32
  5. Step 5: Solve for x
    x = 989,565,888.32/35,893.69
  6. Step 6: Final answer
    x = 27,569.36

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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.