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Finding the Fourth Proportional to 30,175.40, 45,263.68 and 10,454.60

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Solution

The fourth proportional to 30,175.40, 45,263.68 and 10,454.60 is: 15,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.40 : 45,263.68 = 10,454.60 : x
  2. Step 2: Convert to fraction form
    30,175.40/45,263.68 = 10,454.60/x
  3. Step 3: Cross multiply
    30,175.40x = 45,263.68 × 10,454.60
  4. Step 4: Simplify right side
    30,175.40x = 473,213,755.95
  5. Step 5: Solve for x
    x = 473,213,755.95/30,175.40
  6. Step 6: Final answer
    x = 15,682.10

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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.