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Finding the Fourth Proportional to 29,967.84, 44,893.44 and 19,548

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Solution

The fourth proportional to 29,967.84, 44,893.44 and 19,548 is: 29,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,967.84 : 44,893.44 = 19,548 : x
  2. Step 2: Convert to fraction form
    29,967.84/44,893.44 = 19,548/x
  3. Step 3: Cross multiply
    29,967.84x = 44,893.44 × 19,548
  4. Step 4: Simplify right side
    29,967.84x = 877,576,965.12
  5. Step 5: Solve for x
    x = 877,576,965.12/29,967.84
  6. Step 6: Final answer
    x = 29,283.96

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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.