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Finding the Fourth Proportional to 92,011.96, 137,942.46 and 47,651.32

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Solution

The fourth proportional to 92,011.96, 137,942.46 and 47,651.32 is: 71,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,011.96 : 137,942.46 = 47,651.32 : x
  2. Step 2: Convert to fraction form
    92,011.96/137,942.46 = 47,651.32/x
  3. Step 3: Cross multiply
    92,011.96x = 137,942.46 × 47,651.32
  4. Step 4: Simplify right side
    92,011.96x = 6,573,140,303.05
  5. Step 5: Solve for x
    x = 6,573,140,303.05/92,011.96
  6. Step 6: Final answer
    x = 71,437.89

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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.