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Finding the Fourth Proportional to 93,784.56, 140,676.84 and 31,454.88

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Solution

The fourth proportional to 93,784.56, 140,676.84 and 31,454.88 is: 47,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,784.56 : 140,676.84 = 31,454.88 : x
  2. Step 2: Convert to fraction form
    93,784.56/140,676.84 = 31,454.88/x
  3. Step 3: Cross multiply
    93,784.56x = 140,676.84 × 31,454.88
  4. Step 4: Simplify right side
    93,784.56x = 4,424,973,120.98
  5. Step 5: Solve for x
    x = 4,424,973,120.98/93,784.56
  6. Step 6: Final answer
    x = 47,182.32

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Why These Related Problems?

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