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Finding the Fourth Proportional to 30,567.83, 45,842.86 and 11,843.69

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Solution

The fourth proportional to 30,567.83, 45,842.86 and 11,843.69 is: 17,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.83 : 45,842.86 = 11,843.69 : x
  2. Step 2: Convert to fraction form
    30,567.83/45,842.86 = 11,843.69/x
  3. Step 3: Cross multiply
    30,567.83x = 45,842.86 × 11,843.69
  4. Step 4: Simplify right side
    30,567.83x = 542,948,622.55
  5. Step 5: Solve for x
    x = 542,948,622.55/30,567.83
  6. Step 6: Final answer
    x = 17,762.09

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1.5x scale

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.