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Finding the Fourth Proportional to 70,064.50, 96,689.01 and 44,914

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Solution

The fourth proportional to 70,064.50, 96,689.01 and 44,914 is: 61,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,064.50 : 96,689.01 = 44,914 : x
  2. Step 2: Convert to fraction form
    70,064.50/96,689.01 = 44,914/x
  3. Step 3: Cross multiply
    70,064.50x = 96,689.01 × 44,914
  4. Step 4: Simplify right side
    70,064.50x = 4,342,690,195.14
  5. Step 5: Solve for x
    x = 4,342,690,195.14/70,064.50
  6. Step 6: Final answer
    x = 61,981.32

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Why These Related Problems?

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