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Finding the Fourth Proportional to 30,740.46, 46,101.57 and 13,206.20

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Solution

The fourth proportional to 30,740.46, 46,101.57 and 13,206.20 is: 19,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.46 : 46,101.57 = 13,206.20 : x
  2. Step 2: Convert to fraction form
    30,740.46/46,101.57 = 13,206.20/x
  3. Step 3: Cross multiply
    30,740.46x = 46,101.57 × 13,206.20
  4. Step 4: Simplify right side
    30,740.46x = 608,826,323.23
  5. Step 5: Solve for x
    x = 608,826,323.23/30,740.46
  6. Step 6: Final answer
    x = 19,805.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.