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Finding the Fourth Proportional to 34,646.58, 51,964.16 and 12,455.82

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Solution

The fourth proportional to 34,646.58, 51,964.16 and 12,455.82 is: 18,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,646.58 : 51,964.16 = 12,455.82 : x
  2. Step 2: Convert to fraction form
    34,646.58/51,964.16 = 12,455.82/x
  3. Step 3: Cross multiply
    34,646.58x = 51,964.16 × 12,455.82
  4. Step 4: Simplify right side
    34,646.58x = 647,256,161.13
  5. Step 5: Solve for x
    x = 647,256,161.13/34,646.58
  6. Step 6: Final answer
    x = 18,681.68

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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.