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Finding the Fourth Proportional to 76,709.10, 105,833.16 and 44,855.46

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Solution

The fourth proportional to 76,709.10, 105,833.16 and 44,855.46 is: 61,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,709.10 : 105,833.16 = 44,855.46 : x
  2. Step 2: Convert to fraction form
    76,709.10/105,833.16 = 44,855.46/x
  3. Step 3: Cross multiply
    76,709.10x = 105,833.16 × 44,855.46
  4. Step 4: Simplify right side
    76,709.10x = 4,747,195,075.05
  5. Step 5: Solve for x
    x = 4,747,195,075.05/76,709.10
  6. Step 6: Final answer
    x = 61,885.68

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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.