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Finding the Fourth Proportional to 76,042.74, 114,083.55 and 31,654.74

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Solution

The fourth proportional to 76,042.74, 114,083.55 and 31,654.74 is: 47,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,042.74 : 114,083.55 = 31,654.74 : x
  2. Step 2: Convert to fraction form
    76,042.74/114,083.55 = 31,654.74/x
  3. Step 3: Cross multiply
    76,042.74x = 114,083.55 × 31,654.74
  4. Step 4: Simplify right side
    76,042.74x = 3,611,285,113.53
  5. Step 5: Solve for x
    x = 3,611,285,113.53/76,042.74
  6. Step 6: Final answer
    x = 47,490.20

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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.