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Finding the Fourth Proportional to 70,465.94, 105,588.05 and 54,494.57

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Solution

The fourth proportional to 70,465.94, 105,588.05 and 54,494.57 is: 81,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,465.94 : 105,588.05 = 54,494.57 : x
  2. Step 2: Convert to fraction form
    70,465.94/105,588.05 = 54,494.57/x
  3. Step 3: Cross multiply
    70,465.94x = 105,588.05 × 54,494.57
  4. Step 4: Simplify right side
    70,465.94x = 5,753,975,469.18
  5. Step 5: Solve for x
    x = 5,753,975,469.18/70,465.94
  6. Step 6: Final answer
    x = 81,656.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.