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Finding the Fourth Proportional to 76,658.14, 105,789.09 and 43,124.14

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Solution

The fourth proportional to 76,658.14, 105,789.09 and 43,124.14 is: 59,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,658.14 : 105,789.09 = 43,124.14 : x
  2. Step 2: Convert to fraction form
    76,658.14/105,789.09 = 43,124.14/x
  3. Step 3: Cross multiply
    76,658.14x = 105,789.09 × 43,124.14
  4. Step 4: Simplify right side
    76,658.14x = 4,562,063,527.63
  5. Step 5: Solve for x
    x = 4,562,063,527.63/76,658.14
  6. Step 6: Final answer
    x = 59,511.80

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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.