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Finding the Fourth Proportional to 30,841.40, 46,187.52 and 17,653.82

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Solution

The fourth proportional to 30,841.40, 46,187.52 and 17,653.82 is: 26,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.40 : 46,187.52 = 17,653.82 : x
  2. Step 2: Convert to fraction form
    30,841.40/46,187.52 = 17,653.82/x
  3. Step 3: Cross multiply
    30,841.40x = 46,187.52 × 17,653.82
  4. Step 4: Simplify right side
    30,841.40x = 815,386,164.33
  5. Step 5: Solve for x
    x = 815,386,164.33/30,841.40
  6. Step 6: Final answer
    x = 26,438.04

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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.