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Finding the Fourth Proportional to 51,516, 77,283.72 and 23,814

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Solution

The fourth proportional to 51,516, 77,283.72 and 23,814 is: 35,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,516 : 77,283.72 = 23,814 : x
  2. Step 2: Convert to fraction form
    51,516/77,283.72 = 23,814/x
  3. Step 3: Cross multiply
    51,516x = 77,283.72 × 23,814
  4. Step 4: Simplify right side
    51,516x = 1,840,434,508.08
  5. Step 5: Solve for x
    x = 1,840,434,508.08/51,516
  6. Step 6: Final answer
    x = 35,725.49

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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.