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Finding the Fourth Proportional to 42,022.50, 63,033.68 and 12,438

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Solution

The fourth proportional to 42,022.50, 63,033.68 and 12,438 is: 18,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,022.50 : 63,033.68 = 12,438 : x
  2. Step 2: Convert to fraction form
    42,022.50/63,033.68 = 12,438/x
  3. Step 3: Cross multiply
    42,022.50x = 63,033.68 × 12,438
  4. Step 4: Simplify right side
    42,022.50x = 784,012,911.84
  5. Step 5: Solve for x
    x = 784,012,911.84/42,022.50
  6. Step 6: Final answer
    x = 18,656.98

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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.