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Finding the Fourth Proportional to 30,716.67, 46,075.04 and 8,530.10

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Solution

The fourth proportional to 30,716.67, 46,075.04 and 8,530.10 is: 12,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.67 : 46,075.04 = 8,530.10 : x
  2. Step 2: Convert to fraction form
    30,716.67/46,075.04 = 8,530.10/x
  3. Step 3: Cross multiply
    30,716.67x = 46,075.04 × 8,530.10
  4. Step 4: Simplify right side
    30,716.67x = 393,024,698.70
  5. Step 5: Solve for x
    x = 393,024,698.70/30,716.67
  6. Step 6: Final answer
    x = 12,795.16

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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.