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Finding the Fourth Proportional to 76,548, 114,826.40 and 27,300

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Solution

The fourth proportional to 76,548, 114,826.40 and 27,300 is: 40,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,548 : 114,826.40 = 27,300 : x
  2. Step 2: Convert to fraction form
    76,548/114,826.40 = 27,300/x
  3. Step 3: Cross multiply
    76,548x = 114,826.40 × 27,300
  4. Step 4: Simplify right side
    76,548x = 3,134,760,720
  5. Step 5: Solve for x
    x = 3,134,760,720/76,548
  6. Step 6: Final answer
    x = 40,951.57

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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.