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Finding the Fourth Proportional to 47,178, 70,765.48 and 16,013.52

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Solution

The fourth proportional to 47,178, 70,765.48 and 16,013.52 is: 24,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,178 : 70,765.48 = 16,013.52 : x
  2. Step 2: Convert to fraction form
    47,178/70,765.48 = 16,013.52/x
  3. Step 3: Cross multiply
    47,178x = 70,765.48 × 16,013.52
  4. Step 4: Simplify right side
    47,178x = 1,133,204,429.29
  5. Step 5: Solve for x
    x = 1,133,204,429.29/47,178
  6. Step 6: Final answer
    x = 24,019.76

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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.