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Finding the Fourth Proportional to 30,296.40, 45,444.60 and 8,113.20

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Solution

The fourth proportional to 30,296.40, 45,444.60 and 8,113.20 is: 12,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.40 : 45,444.60 = 8,113.20 : x
  2. Step 2: Convert to fraction form
    30,296.40/45,444.60 = 8,113.20/x
  3. Step 3: Cross multiply
    30,296.40x = 45,444.60 × 8,113.20
  4. Step 4: Simplify right side
    30,296.40x = 368,701,128.72
  5. Step 5: Solve for x
    x = 368,701,128.72/30,296.40
  6. Step 6: Final answer
    x = 12,169.80

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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.