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Finding the Fourth Proportional to 28,283.20, 42,424.80 and 16,424.80

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Solution

The fourth proportional to 28,283.20, 42,424.80 and 16,424.80 is: 24,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,283.20 : 42,424.80 = 16,424.80 : x
  2. Step 2: Convert to fraction form
    28,283.20/42,424.80 = 16,424.80/x
  3. Step 3: Cross multiply
    28,283.20x = 42,424.80 × 16,424.80
  4. Step 4: Simplify right side
    28,283.20x = 696,818,855.04
  5. Step 5: Solve for x
    x = 696,818,855.04/28,283.20
  6. Step 6: Final answer
    x = 24,637.20

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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.