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Finding the Fourth Proportional to 31,036.44, 42,830.50 and 16,889.38

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Solution

The fourth proportional to 31,036.44, 42,830.50 and 16,889.38 is: 23,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036.44 : 42,830.50 = 16,889.38 : x
  2. Step 2: Convert to fraction form
    31,036.44/42,830.50 = 16,889.38/x
  3. Step 3: Cross multiply
    31,036.44x = 42,830.50 × 16,889.38
  4. Step 4: Simplify right side
    31,036.44x = 723,380,590.09
  5. Step 5: Solve for x
    x = 723,380,590.09/31,036.44
  6. Step 6: Final answer
    x = 23,307.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.