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Finding the Fourth Proportional to 45,953.30, 63,431.85 and 27,804.96

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Solution

The fourth proportional to 45,953.30, 63,431.85 and 27,804.96 is: 38,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,953.30 : 63,431.85 = 27,804.96 : x
  2. Step 2: Convert to fraction form
    45,953.30/63,431.85 = 27,804.96/x
  3. Step 3: Cross multiply
    45,953.30x = 63,431.85 × 27,804.96
  4. Step 4: Simplify right side
    45,953.30x = 1,763,720,051.98
  5. Step 5: Solve for x
    x = 1,763,720,051.98/45,953.30
  6. Step 6: Final answer
    x = 38,380.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.