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Finding the Fourth Proportional to 76,549.46, 114,811.22 and 23,228.57

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Solution

The fourth proportional to 76,549.46, 114,811.22 and 23,228.57 is: 34,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549.46 : 114,811.22 = 23,228.57 : x
  2. Step 2: Convert to fraction form
    76,549.46/114,811.22 = 23,228.57/x
  3. Step 3: Cross multiply
    76,549.46x = 114,811.22 × 23,228.57
  4. Step 4: Simplify right side
    76,549.46x = 2,666,900,805.65
  5. Step 5: Solve for x
    x = 2,666,900,805.65/76,549.46
  6. Step 6: Final answer
    x = 34,838.93

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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.