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Finding the Fourth Proportional to 30,782.60, 46,174.62 and 11,062.60

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Solution

The fourth proportional to 30,782.60, 46,174.62 and 11,062.60 is: 16,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.60 : 46,174.62 = 11,062.60 : x
  2. Step 2: Convert to fraction form
    30,782.60/46,174.62 = 11,062.60/x
  3. Step 3: Cross multiply
    30,782.60x = 46,174.62 × 11,062.60
  4. Step 4: Simplify right side
    30,782.60x = 510,811,351.21
  5. Step 5: Solve for x
    x = 510,811,351.21/30,782.60
  6. Step 6: Final answer
    x = 16,594.16

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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.