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Finding the Fourth Proportional to 30,789.52, 46,184.28 and 7,415.96

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Solution

The fourth proportional to 30,789.52, 46,184.28 and 7,415.96 is: 11,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.52 : 46,184.28 = 7,415.96 : x
  2. Step 2: Convert to fraction form
    30,789.52/46,184.28 = 7,415.96/x
  3. Step 3: Cross multiply
    30,789.52x = 46,184.28 × 7,415.96
  4. Step 4: Simplify right side
    30,789.52x = 342,500,514.38
  5. Step 5: Solve for x
    x = 342,500,514.38/30,789.52
  6. Step 6: Final answer
    x = 11,123.93

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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.