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Finding the Fourth Proportional to 30,941.44, 46,372.44 and 14,062.12

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Solution

The fourth proportional to 30,941.44, 46,372.44 and 14,062.12 is: 21,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.44 : 46,372.44 = 14,062.12 : x
  2. Step 2: Convert to fraction form
    30,941.44/46,372.44 = 14,062.12/x
  3. Step 3: Cross multiply
    30,941.44x = 46,372.44 × 14,062.12
  4. Step 4: Simplify right side
    30,941.44x = 652,094,815.97
  5. Step 5: Solve for x
    x = 652,094,815.97/30,941.44
  6. Step 6: Final answer
    x = 21,075.13

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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.