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Finding the Fourth Proportional to 76,588.34, 105,676.25 and 44,751.08

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Solution

The fourth proportional to 76,588.34, 105,676.25 and 44,751.08 is: 61,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,588.34 : 105,676.25 = 44,751.08 : x
  2. Step 2: Convert to fraction form
    76,588.34/105,676.25 = 44,751.08/x
  3. Step 3: Cross multiply
    76,588.34x = 105,676.25 × 44,751.08
  4. Step 4: Simplify right side
    76,588.34x = 4,729,125,565.71
  5. Step 5: Solve for x
    x = 4,729,125,565.71/76,588.34
  6. Step 6: Final answer
    x = 61,747.33

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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.