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Finding the Fourth Proportional to 30,698.88, 46,058.04 and 10,977

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Solution

The fourth proportional to 30,698.88, 46,058.04 and 10,977 is: 16,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.88 : 46,058.04 = 10,977 : x
  2. Step 2: Convert to fraction form
    30,698.88/46,058.04 = 10,977/x
  3. Step 3: Cross multiply
    30,698.88x = 46,058.04 × 10,977
  4. Step 4: Simplify right side
    30,698.88x = 505,579,105.08
  5. Step 5: Solve for x
    x = 505,579,105.08/30,698.88
  6. Step 6: Final answer
    x = 16,468.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.