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Finding the Fourth Proportional to 46,205.84, 63,764.72 and 28,294.31

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Solution

The fourth proportional to 46,205.84, 63,764.72 and 28,294.31 is: 39,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,205.84 : 63,764.72 = 28,294.31 : x
  2. Step 2: Convert to fraction form
    46,205.84/63,764.72 = 28,294.31/x
  3. Step 3: Cross multiply
    46,205.84x = 63,764.72 × 28,294.31
  4. Step 4: Simplify right side
    46,205.84x = 1,804,178,878.79
  5. Step 5: Solve for x
    x = 1,804,178,878.79/46,205.84
  6. Step 6: Final answer
    x = 39,046.55

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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.