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Finding the Fourth Proportional to 34,342, 47,377.28 and 21,586.32

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Solution

The fourth proportional to 34,342, 47,377.28 and 21,586.32 is: 29,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,342 : 47,377.28 = 21,586.32 : x
  2. Step 2: Convert to fraction form
    34,342/47,377.28 = 21,586.32/x
  3. Step 3: Cross multiply
    34,342x = 47,377.28 × 21,586.32
  4. Step 4: Simplify right side
    34,342x = 1,022,701,126.81
  5. Step 5: Solve for x
    x = 1,022,701,126.81/34,342
  6. Step 6: Final answer
    x = 29,779.89

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