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Finding the Fourth Proportional to 30,672.80, 46,009.20 and 29,214.80

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Solution

The fourth proportional to 30,672.80, 46,009.20 and 29,214.80 is: 43,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.80 : 46,009.20 = 29,214.80 : x
  2. Step 2: Convert to fraction form
    30,672.80/46,009.20 = 29,214.80/x
  3. Step 3: Cross multiply
    30,672.80x = 46,009.20 × 29,214.80
  4. Step 4: Simplify right side
    30,672.80x = 1,344,149,576.16
  5. Step 5: Solve for x
    x = 1,344,149,576.16/30,672.80
  6. Step 6: Final answer
    x = 43,822.20

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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.