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Finding the Fourth Proportional to 30,490.43, 42,075.54 and 17,744.00

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Solution

The fourth proportional to 30,490.43, 42,075.54 and 17,744.00 is: 24,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490.43 : 42,075.54 = 17,744.00 : x
  2. Step 2: Convert to fraction form
    30,490.43/42,075.54 = 17,744.00/x
  3. Step 3: Cross multiply
    30,490.43x = 42,075.54 × 17,744.00
  4. Step 4: Simplify right side
    30,490.43x = 746,588,171.38
  5. Step 5: Solve for x
    x = 746,588,171.38/30,490.43
  6. Step 6: Final answer
    x = 24,485.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.