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Finding the Fourth Proportional to 30,169.40, 45,254.10 and 8,281.40

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Solution

The fourth proportional to 30,169.40, 45,254.10 and 8,281.40 is: 12,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.40 : 45,254.10 = 8,281.40 : x
  2. Step 2: Convert to fraction form
    30,169.40/45,254.10 = 8,281.40/x
  3. Step 3: Cross multiply
    30,169.40x = 45,254.10 × 8,281.40
  4. Step 4: Simplify right side
    30,169.40x = 374,767,303.74
  5. Step 5: Solve for x
    x = 374,767,303.74/30,169.40
  6. Step 6: Final answer
    x = 12,422.10

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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.