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Finding the Fourth Proportional to 46,612.80, 69,782.04 and 30,788.64

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Solution

The fourth proportional to 46,612.80, 69,782.04 and 30,788.64 is: 46,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,612.80 : 69,782.04 = 30,788.64 : x
  2. Step 2: Convert to fraction form
    46,612.80/69,782.04 = 30,788.64/x
  3. Step 3: Cross multiply
    46,612.80x = 69,782.04 × 30,788.64
  4. Step 4: Simplify right side
    46,612.80x = 2,148,494,108.03
  5. Step 5: Solve for x
    x = 2,148,494,108.03/46,612.80
  6. Step 6: Final answer
    x = 46,092.36

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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.