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Finding the Fourth Proportional to 30,075.68, 41,507.16 and 17,498

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Solution

The fourth proportional to 30,075.68, 41,507.16 and 17,498 is: 24,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075.68 : 41,507.16 = 17,498 : x
  2. Step 2: Convert to fraction form
    30,075.68/41,507.16 = 17,498/x
  3. Step 3: Cross multiply
    30,075.68x = 41,507.16 × 17,498
  4. Step 4: Simplify right side
    30,075.68x = 726,292,285.68
  5. Step 5: Solve for x
    x = 726,292,285.68/30,075.68
  6. Step 6: Final answer
    x = 24,148.82

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