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Finding the Fourth Proportional to 83,701.34, 115,441.04 and 55,050.42

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Solution

The fourth proportional to 83,701.34, 115,441.04 and 55,050.42 is: 75,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,701.34 : 115,441.04 = 55,050.42 : x
  2. Step 2: Convert to fraction form
    83,701.34/115,441.04 = 55,050.42/x
  3. Step 3: Cross multiply
    83,701.34x = 115,441.04 × 55,050.42
  4. Step 4: Simplify right side
    83,701.34x = 6,355,077,737.24
  5. Step 5: Solve for x
    x = 6,355,077,737.24/83,701.34
  6. Step 6: Final answer
    x = 75,925.64

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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.