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Finding the Fourth Proportional to 29,741.45, 41,056.40 and 19,000.45

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Solution

The fourth proportional to 29,741.45, 41,056.40 and 19,000.45 is: 26,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741.45 : 41,056.40 = 19,000.45 : x
  2. Step 2: Convert to fraction form
    29,741.45/41,056.40 = 19,000.45/x
  3. Step 3: Cross multiply
    29,741.45x = 41,056.40 × 19,000.45
  4. Step 4: Simplify right side
    29,741.45x = 780,090,075.38
  5. Step 5: Solve for x
    x = 780,090,075.38/29,741.45
  6. Step 6: Final answer
    x = 26,229.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.