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Finding the Fourth Proportional to 30,075.34, 41,503.30 and 16,645.78

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Solution

The fourth proportional to 30,075.34, 41,503.30 and 16,645.78 is: 22,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075.34 : 41,503.30 = 16,645.78 : x
  2. Step 2: Convert to fraction form
    30,075.34/41,503.30 = 16,645.78/x
  3. Step 3: Cross multiply
    30,075.34x = 41,503.30 × 16,645.78
  4. Step 4: Simplify right side
    30,075.34x = 690,854,801.07
  5. Step 5: Solve for x
    x = 690,854,801.07/30,075.34
  6. Step 6: Final answer
    x = 22,970.81

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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.