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Finding the Fourth Proportional to 30,412.80, 45,619.20 and 13,780.80

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Solution

The fourth proportional to 30,412.80, 45,619.20 and 13,780.80 is: 20,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.80 : 45,619.20 = 13,780.80 : x
  2. Step 2: Convert to fraction form
    30,412.80/45,619.20 = 13,780.80/x
  3. Step 3: Cross multiply
    30,412.80x = 45,619.20 × 13,780.80
  4. Step 4: Simplify right side
    30,412.80x = 628,669,071.36
  5. Step 5: Solve for x
    x = 628,669,071.36/30,412.80
  6. Step 6: Final answer
    x = 20,671.20

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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.