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Finding the Fourth Proportional to 76,415.40, 114,623.10 and 29,637.90

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Solution

The fourth proportional to 76,415.40, 114,623.10 and 29,637.90 is: 44,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.40 : 114,623.10 = 29,637.90 : x
  2. Step 2: Convert to fraction form
    76,415.40/114,623.10 = 29,637.90/x
  3. Step 3: Cross multiply
    76,415.40x = 114,623.10 × 29,637.90
  4. Step 4: Simplify right side
    76,415.40x = 3,397,187,975.49
  5. Step 5: Solve for x
    x = 3,397,187,975.49/76,415.40
  6. Step 6: Final answer
    x = 44,456.85

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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.