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Finding the Fourth Proportional to 31,714.86, 47,580.18 and 9,528.63

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Solution

The fourth proportional to 31,714.86, 47,580.18 and 9,528.63 is: 14,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.86 : 47,580.18 = 9,528.63 : x
  2. Step 2: Convert to fraction form
    31,714.86/47,580.18 = 9,528.63/x
  3. Step 3: Cross multiply
    31,714.86x = 47,580.18 × 9,528.63
  4. Step 4: Simplify right side
    31,714.86x = 453,373,930.55
  5. Step 5: Solve for x
    x = 453,373,930.55/31,714.86
  6. Step 6: Final answer
    x = 14,295.32

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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.