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Finding the Fourth Proportional to 31,079.34, 46,618.95 and 7,705.77

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Solution

The fourth proportional to 31,079.34, 46,618.95 and 7,705.77 is: 11,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,079.34 : 46,618.95 = 7,705.77 : x
  2. Step 2: Convert to fraction form
    31,079.34/46,618.95 = 7,705.77/x
  3. Step 3: Cross multiply
    31,079.34x = 46,618.95 × 7,705.77
  4. Step 4: Simplify right side
    31,079.34x = 359,234,906.34
  5. Step 5: Solve for x
    x = 359,234,906.34/31,079.34
  6. Step 6: Final answer
    x = 11,558.64

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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.