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Finding the Fourth Proportional to 76,842.56, 106,043.19 and 42,853.19

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Solution

The fourth proportional to 76,842.56, 106,043.19 and 42,853.19 is: 59,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.56 : 106,043.19 = 42,853.19 : x
  2. Step 2: Convert to fraction form
    76,842.56/106,043.19 = 42,853.19/x
  3. Step 3: Cross multiply
    76,842.56x = 106,043.19 × 42,853.19
  4. Step 4: Simplify right side
    76,842.56x = 4,544,289,234.38
  5. Step 5: Solve for x
    x = 4,544,289,234.38/76,842.56
  6. Step 6: Final answer
    x = 59,137.66

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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.