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Finding the Fourth Proportional to 30,793.80, 46,075.14 and 18,267.96

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Solution

The fourth proportional to 30,793.80, 46,075.14 and 18,267.96 is: 27,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.80 : 46,075.14 = 18,267.96 : x
  2. Step 2: Convert to fraction form
    30,793.80/46,075.14 = 18,267.96/x
  3. Step 3: Cross multiply
    30,793.80x = 46,075.14 × 18,267.96
  4. Step 4: Simplify right side
    30,793.80x = 841,698,814.51
  5. Step 5: Solve for x
    x = 841,698,814.51/30,793.80
  6. Step 6: Final answer
    x = 27,333.39

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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.