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Finding the Fourth Proportional to 31,342.96, 47,007.04 and 14,714.48

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Solution

The fourth proportional to 31,342.96, 47,007.04 and 14,714.48 is: 22,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.96 : 47,007.04 = 14,714.48 : x
  2. Step 2: Convert to fraction form
    31,342.96/47,007.04 = 14,714.48/x
  3. Step 3: Cross multiply
    31,342.96x = 47,007.04 × 14,714.48
  4. Step 4: Simplify right side
    31,342.96x = 691,684,149.94
  5. Step 5: Solve for x
    x = 691,684,149.94/31,342.96
  6. Step 6: Final answer
    x = 22,068.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.