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Finding the Fourth Proportional to 42,597.23, 63,797.36 and 41,121

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Solution

The fourth proportional to 42,597.23, 63,797.36 and 41,121 is: 61,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,597.23 : 63,797.36 = 41,121 : x
  2. Step 2: Convert to fraction form
    42,597.23/63,797.36 = 41,121/x
  3. Step 3: Cross multiply
    42,597.23x = 63,797.36 × 41,121
  4. Step 4: Simplify right side
    42,597.23x = 2,623,411,034.96
  5. Step 5: Solve for x
    x = 2,623,411,034.96/42,597.23
  6. Step 6: Final answer
    x = 61,586.43

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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.