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Finding the Fourth Proportional to 30,253.69, 45,283.20 and 16,178.50

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Solution

The fourth proportional to 30,253.69, 45,283.20 and 16,178.50 is: 24,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,253.69 : 45,283.20 = 16,178.50 : x
  2. Step 2: Convert to fraction form
    30,253.69/45,283.20 = 16,178.50/x
  3. Step 3: Cross multiply
    30,253.69x = 45,283.20 × 16,178.50
  4. Step 4: Simplify right side
    30,253.69x = 732,614,251.20
  5. Step 5: Solve for x
    x = 732,614,251.20/30,253.69
  6. Step 6: Final answer
    x = 24,215.70

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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.