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Finding the Fourth Proportional to 41,075.34, 61,618.50 and 14,415

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Solution

The fourth proportional to 41,075.34, 61,618.50 and 14,415 is: 21,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,075.34 : 61,618.50 = 14,415 : x
  2. Step 2: Convert to fraction form
    41,075.34/61,618.50 = 14,415/x
  3. Step 3: Cross multiply
    41,075.34x = 61,618.50 × 14,415
  4. Step 4: Simplify right side
    41,075.34x = 888,230,677.50
  5. Step 5: Solve for x
    x = 888,230,677.50/41,075.34
  6. Step 6: Final answer
    x = 21,624.43

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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.