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Finding the Fourth Proportional to 31,210.62, 46,830 and 16,983.42

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Solution

The fourth proportional to 31,210.62, 46,830 and 16,983.42 is: 25,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.62 : 46,830 = 16,983.42 : x
  2. Step 2: Convert to fraction form
    31,210.62/46,830 = 16,983.42/x
  3. Step 3: Cross multiply
    31,210.62x = 46,830 × 16,983.42
  4. Step 4: Simplify right side
    31,210.62x = 795,333,558.60
  5. Step 5: Solve for x
    x = 795,333,558.60/31,210.62
  6. Step 6: Final answer
    x = 25,482.79

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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.