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Finding the Fourth Proportional to 30,675.76, 46,023.36 and 10,953.88

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Solution

The fourth proportional to 30,675.76, 46,023.36 and 10,953.88 is: 16,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.76 : 46,023.36 = 10,953.88 : x
  2. Step 2: Convert to fraction form
    30,675.76/46,023.36 = 10,953.88/x
  3. Step 3: Cross multiply
    30,675.76x = 46,023.36 × 10,953.88
  4. Step 4: Simplify right side
    30,675.76x = 504,134,362.64
  5. Step 5: Solve for x
    x = 504,134,362.64/30,675.76
  6. Step 6: Final answer
    x = 16,434.29

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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.