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Finding the Fourth Proportional to 32,998, 45,537.42 and 19,576

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Solution

The fourth proportional to 32,998, 45,537.42 and 19,576 is: 27,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998 : 45,537.42 = 19,576 : x
  2. Step 2: Convert to fraction form
    32,998/45,537.42 = 19,576/x
  3. Step 3: Cross multiply
    32,998x = 45,537.42 × 19,576
  4. Step 4: Simplify right side
    32,998x = 891,440,533.92
  5. Step 5: Solve for x
    x = 891,440,533.92/32,998
  6. Step 6: Final answer
    x = 27,014.99

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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.