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Finding the Fourth Proportional to 31,333.32, 46,999.80 and 7,640.58

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Solution

The fourth proportional to 31,333.32, 46,999.80 and 7,640.58 is: 11,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,333.32 : 46,999.80 = 7,640.58 : x
  2. Step 2: Convert to fraction form
    31,333.32/46,999.80 = 7,640.58/x
  3. Step 3: Cross multiply
    31,333.32x = 46,999.80 × 7,640.58
  4. Step 4: Simplify right side
    31,333.32x = 359,105,731.88
  5. Step 5: Solve for x
    x = 359,105,731.88/31,333.32
  6. Step 6: Final answer
    x = 11,460.83

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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.