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Finding the Fourth Proportional to 83,835, 115,633.71 and 55,145.61

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Solution

The fourth proportional to 83,835, 115,633.71 and 55,145.61 is: 76,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,835 : 115,633.71 = 55,145.61 : x
  2. Step 2: Convert to fraction form
    83,835/115,633.71 = 55,145.61/x
  3. Step 3: Cross multiply
    83,835x = 115,633.71 × 55,145.61
  4. Step 4: Simplify right side
    83,835x = 6,376,691,474.51
  5. Step 5: Solve for x
    x = 6,376,691,474.51/83,835
  6. Step 6: Final answer
    x = 76,062.40

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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.