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Finding the Fourth Proportional to 83,707.15, 115,449.02 and 55,056.21

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Solution

The fourth proportional to 83,707.15, 115,449.02 and 55,056.21 is: 75,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,707.15 : 115,449.02 = 55,056.21 : x
  2. Step 2: Convert to fraction form
    83,707.15/115,449.02 = 55,056.21/x
  3. Step 3: Cross multiply
    83,707.15x = 115,449.02 × 55,056.21
  4. Step 4: Simplify right side
    83,707.15x = 6,356,185,142.51
  5. Step 5: Solve for x
    x = 6,356,185,142.51/83,707.15
  6. Step 6: Final answer
    x = 75,933.60

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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.