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Finding the Fourth Proportional to 76,494.70, 114,779.65 and 34,404.52

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Solution

The fourth proportional to 76,494.70, 114,779.65 and 34,404.52 is: 51,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.70 : 114,779.65 = 34,404.52 : x
  2. Step 2: Convert to fraction form
    76,494.70/114,779.65 = 34,404.52/x
  3. Step 3: Cross multiply
    76,494.70x = 114,779.65 × 34,404.52
  4. Step 4: Simplify right side
    76,494.70x = 3,948,938,764.02
  5. Step 5: Solve for x
    x = 3,948,938,764.02/76,494.70
  6. Step 6: Final answer
    x = 51,623.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.