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Finding the Fourth Proportional to 46,763.20, 70,144.80 and 11,702.80

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Solution

The fourth proportional to 46,763.20, 70,144.80 and 11,702.80 is: 17,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,763.20 : 70,144.80 = 11,702.80 : x
  2. Step 2: Convert to fraction form
    46,763.20/70,144.80 = 11,702.80/x
  3. Step 3: Cross multiply
    46,763.20x = 70,144.80 × 11,702.80
  4. Step 4: Simplify right side
    46,763.20x = 820,890,565.44
  5. Step 5: Solve for x
    x = 820,890,565.44/46,763.20
  6. Step 6: Final answer
    x = 17,554.20

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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.