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Finding the Fourth Proportional to 30,574.40, 45,850.80 and 10,853.60

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Solution

The fourth proportional to 30,574.40, 45,850.80 and 10,853.60 is: 16,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.40 : 45,850.80 = 10,853.60 : x
  2. Step 2: Convert to fraction form
    30,574.40/45,850.80 = 10,853.60/x
  3. Step 3: Cross multiply
    30,574.40x = 45,850.80 × 10,853.60
  4. Step 4: Simplify right side
    30,574.40x = 497,646,242.88
  5. Step 5: Solve for x
    x = 497,646,242.88/30,574.40
  6. Step 6: Final answer
    x = 16,276.57

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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.