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Finding the Fourth Proportional to 76,706.97, 105,837.77 and 46,485.66

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Solution

The fourth proportional to 76,706.97, 105,837.77 and 46,485.66 is: 64,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,706.97 : 105,837.77 = 46,485.66 : x
  2. Step 2: Convert to fraction form
    76,706.97/105,837.77 = 46,485.66/x
  3. Step 3: Cross multiply
    76,706.97x = 105,837.77 × 46,485.66
  4. Step 4: Simplify right side
    76,706.97x = 4,919,939,104.48
  5. Step 5: Solve for x
    x = 4,919,939,104.48/76,706.97
  6. Step 6: Final answer
    x = 64,139.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.