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Finding the Fourth Proportional to 76,415.70, 114,623.55 and 45,234.90

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Solution

The fourth proportional to 76,415.70, 114,623.55 and 45,234.90 is: 67,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.70 : 114,623.55 = 45,234.90 : x
  2. Step 2: Convert to fraction form
    76,415.70/114,623.55 = 45,234.90/x
  3. Step 3: Cross multiply
    76,415.70x = 114,623.55 × 45,234.90
  4. Step 4: Simplify right side
    76,415.70x = 5,184,984,821.90
  5. Step 5: Solve for x
    x = 5,184,984,821.90/76,415.70
  6. Step 6: Final answer
    x = 67,852.35

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