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Finding the Fourth Proportional to 34,161.98, 47,165.45 and 21,432.60

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Solution

The fourth proportional to 34,161.98, 47,165.45 and 21,432.60 is: 29,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,161.98 : 47,165.45 = 21,432.60 : x
  2. Step 2: Convert to fraction form
    34,161.98/47,165.45 = 21,432.60/x
  3. Step 3: Cross multiply
    34,161.98x = 47,165.45 × 21,432.60
  4. Step 4: Simplify right side
    34,161.98x = 1,010,878,116.51
  5. Step 5: Solve for x
    x = 1,010,878,116.51/34,161.98
  6. Step 6: Final answer
    x = 29,590.74

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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.