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Finding the Fourth Proportional to 30,551.40, 45,827.10 and 10,830.60

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Solution

The fourth proportional to 30,551.40, 45,827.10 and 10,830.60 is: 16,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,551.40 : 45,827.10 = 10,830.60 : x
  2. Step 2: Convert to fraction form
    30,551.40/45,827.10 = 10,830.60/x
  3. Step 3: Cross multiply
    30,551.40x = 45,827.10 × 10,830.60
  4. Step 4: Simplify right side
    30,551.40x = 496,334,989.26
  5. Step 5: Solve for x
    x = 496,334,989.26/30,551.40
  6. Step 6: Final answer
    x = 16,245.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.