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Finding the Fourth Proportional to 30,090.70, 45,075.74 and 14,310.99

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Solution

The fourth proportional to 30,090.70, 45,075.74 and 14,310.99 is: 21,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,090.70 : 45,075.74 = 14,310.99 : x
  2. Step 2: Convert to fraction form
    30,090.70/45,075.74 = 14,310.99/x
  3. Step 3: Cross multiply
    30,090.70x = 45,075.74 × 14,310.99
  4. Step 4: Simplify right side
    30,090.70x = 645,078,464.38
  5. Step 5: Solve for x
    x = 645,078,464.38/30,090.70
  6. Step 6: Final answer
    x = 21,437.80

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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.