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Finding the Fourth Proportional to 34,005.84, 51,018.68 and 14,274

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Solution

The fourth proportional to 34,005.84, 51,018.68 and 14,274 is: 21,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005.84 : 51,018.68 = 14,274 : x
  2. Step 2: Convert to fraction form
    34,005.84/51,018.68 = 14,274/x
  3. Step 3: Cross multiply
    34,005.84x = 51,018.68 × 14,274
  4. Step 4: Simplify right side
    34,005.84x = 728,240,638.32
  5. Step 5: Solve for x
    x = 728,240,638.32/34,005.84
  6. Step 6: Final answer
    x = 21,415.16

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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.