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Finding the Fourth Proportional to 76,615.98, 114,923.88 and 24,029.52

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Solution

The fourth proportional to 76,615.98, 114,923.88 and 24,029.52 is: 36,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,615.98 : 114,923.88 = 24,029.52 : x
  2. Step 2: Convert to fraction form
    76,615.98/114,923.88 = 24,029.52/x
  3. Step 3: Cross multiply
    76,615.98x = 114,923.88 × 24,029.52
  4. Step 4: Simplify right side
    76,615.98x = 2,761,565,672.94
  5. Step 5: Solve for x
    x = 2,761,565,672.94/76,615.98
  6. Step 6: Final answer
    x = 36,044.25

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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.