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Finding the Fourth Proportional to 34,798.44, 47,986.56 and 29,779.32

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Solution

The fourth proportional to 34,798.44, 47,986.56 and 29,779.32 is: 41,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,798.44 : 47,986.56 = 29,779.32 : x
  2. Step 2: Convert to fraction form
    34,798.44/47,986.56 = 29,779.32/x
  3. Step 3: Cross multiply
    34,798.44x = 47,986.56 × 29,779.32
  4. Step 4: Simplify right side
    34,798.44x = 1,429,007,125.94
  5. Step 5: Solve for x
    x = 1,429,007,125.94/34,798.44
  6. Step 6: Final answer
    x = 41,065.26

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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.