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Finding the Fourth Proportional to 30,422.40, 45,633.60 and 16,425.60

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Solution

The fourth proportional to 30,422.40, 45,633.60 and 16,425.60 is: 24,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.40 : 45,633.60 = 16,425.60 : x
  2. Step 2: Convert to fraction form
    30,422.40/45,633.60 = 16,425.60/x
  3. Step 3: Cross multiply
    30,422.40x = 45,633.60 × 16,425.60
  4. Step 4: Simplify right side
    30,422.40x = 749,559,260.16
  5. Step 5: Solve for x
    x = 749,559,260.16/30,422.40
  6. Step 6: Final answer
    x = 24,638.40

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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.