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Finding the Fourth Proportional to 36,516.51, 54,787.95 and 12,830.58

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Solution

The fourth proportional to 36,516.51, 54,787.95 and 12,830.58 is: 19,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,516.51 : 54,787.95 = 12,830.58 : x
  2. Step 2: Convert to fraction form
    36,516.51/54,787.95 = 12,830.58/x
  3. Step 3: Cross multiply
    36,516.51x = 54,787.95 × 12,830.58
  4. Step 4: Simplify right side
    36,516.51x = 702,961,175.51
  5. Step 5: Solve for x
    x = 702,961,175.51/36,516.51
  6. Step 6: Final answer
    x = 19,250.50

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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.