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Finding the Fourth Proportional to 34,714.41, 47,907.63 and 20,374.86

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Solution

The fourth proportional to 34,714.41, 47,907.63 and 20,374.86 is: 28,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714.41 : 47,907.63 = 20,374.86 : x
  2. Step 2: Convert to fraction form
    34,714.41/47,907.63 = 20,374.86/x
  3. Step 3: Cross multiply
    34,714.41x = 47,907.63 × 20,374.86
  4. Step 4: Simplify right side
    34,714.41x = 976,111,254.18
  5. Step 5: Solve for x
    x = 976,111,254.18/34,714.41
  6. Step 6: Final answer
    x = 28,118.33

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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.