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Finding the Fourth Proportional to 51,284, 76,926.08 and 14,348

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Solution

The fourth proportional to 51,284, 76,926.08 and 14,348 is: 21,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,284 : 76,926.08 = 14,348 : x
  2. Step 2: Convert to fraction form
    51,284/76,926.08 = 14,348/x
  3. Step 3: Cross multiply
    51,284x = 76,926.08 × 14,348
  4. Step 4: Simplify right side
    51,284x = 1,103,735,395.84
  5. Step 5: Solve for x
    x = 1,103,735,395.84/51,284
  6. Step 6: Final answer
    x = 21,522.02

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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.