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Finding the Fourth Proportional to 76,651.50, 105,763.14 and 44,814.24

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Solution

The fourth proportional to 76,651.50, 105,763.14 and 44,814.24 is: 61,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,651.50 : 105,763.14 = 44,814.24 : x
  2. Step 2: Convert to fraction form
    76,651.50/105,763.14 = 44,814.24/x
  3. Step 3: Cross multiply
    76,651.50x = 105,763.14 × 44,814.24
  4. Step 4: Simplify right side
    76,651.50x = 4,739,694,739.11
  5. Step 5: Solve for x
    x = 4,739,694,739.11/76,651.50
  6. Step 6: Final answer
    x = 61,834.34

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1.5x scale

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.