Home / 30,757.08-46,106.46-9,966

Finding the Fourth Proportional to 30,757.08, 46,106.46 and 9,966

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Solution

The fourth proportional to 30,757.08, 46,106.46 and 9,966 is: 14,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757.08 : 46,106.46 = 9,966 : x
  2. Step 2: Convert to fraction form
    30,757.08/46,106.46 = 9,966/x
  3. Step 3: Cross multiply
    30,757.08x = 46,106.46 × 9,966
  4. Step 4: Simplify right side
    30,757.08x = 459,496,980.36
  5. Step 5: Solve for x
    x = 459,496,980.36/30,757.08
  6. Step 6: Final answer
    x = 14,939.55

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Why These Related Problems?

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