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Finding the Fourth Proportional to 28,482.84, 42,732.90 and 20,178.92

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Solution

The fourth proportional to 28,482.84, 42,732.90 and 20,178.92 is: 30,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,482.84 : 42,732.90 = 20,178.92 : x
  2. Step 2: Convert to fraction form
    28,482.84/42,732.90 = 20,178.92/x
  3. Step 3: Cross multiply
    28,482.84x = 42,732.90 × 20,178.92
  4. Step 4: Simplify right side
    28,482.84x = 862,303,877.30
  5. Step 5: Solve for x
    x = 862,303,877.30/28,482.84
  6. Step 6: Final answer
    x = 30,274.50

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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.