Home / 30,742.32-46,114.56-9,966

Finding the Fourth Proportional to 30,742.32, 46,114.56 and 9,966

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Solution

The fourth proportional to 30,742.32, 46,114.56 and 9,966 is: 14,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.32 : 46,114.56 = 9,966 : x
  2. Step 2: Convert to fraction form
    30,742.32/46,114.56 = 9,966/x
  3. Step 3: Cross multiply
    30,742.32x = 46,114.56 × 9,966
  4. Step 4: Simplify right side
    30,742.32x = 459,577,704.96
  5. Step 5: Solve for x
    x = 459,577,704.96/30,742.32
  6. Step 6: Final answer
    x = 14,949.35

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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.