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Finding the Fourth Proportional to 42,174.12, 63,259.74 and 19,998.12

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Solution

The fourth proportional to 42,174.12, 63,259.74 and 19,998.12 is: 29,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,174.12 : 63,259.74 = 19,998.12 : x
  2. Step 2: Convert to fraction form
    42,174.12/63,259.74 = 19,998.12/x
  3. Step 3: Cross multiply
    42,174.12x = 63,259.74 × 19,998.12
  4. Step 4: Simplify right side
    42,174.12x = 1,265,075,871.69
  5. Step 5: Solve for x
    x = 1,265,075,871.69/42,174.12
  6. Step 6: Final answer
    x = 29,996.50

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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.