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Finding the Fourth Proportional to 29,698.58, 44,550.06 and 9,977

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Solution

The fourth proportional to 29,698.58, 44,550.06 and 9,977 is: 14,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.58 : 44,550.06 = 9,977 : x
  2. Step 2: Convert to fraction form
    29,698.58/44,550.06 = 9,977/x
  3. Step 3: Cross multiply
    29,698.58x = 44,550.06 × 9,977
  4. Step 4: Simplify right side
    29,698.58x = 444,475,948.62
  5. Step 5: Solve for x
    x = 444,475,948.62/29,698.58
  6. Step 6: Final answer
    x = 14,966.24

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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.