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Finding the Fourth Proportional to 77,074.81, 106,376.77 and 44,819.40

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Solution

The fourth proportional to 77,074.81, 106,376.77 and 44,819.40 is: 61,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074.81 : 106,376.77 = 44,819.40 : x
  2. Step 2: Convert to fraction form
    77,074.81/106,376.77 = 44,819.40/x
  3. Step 3: Cross multiply
    77,074.81x = 106,376.77 × 44,819.40
  4. Step 4: Simplify right side
    77,074.81x = 4,767,743,005.34
  5. Step 5: Solve for x
    x = 4,767,743,005.34/77,074.81
  6. Step 6: Final answer
    x = 61,858.64

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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.