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Finding the Fourth Proportional to 76,102.66, 114,121.88 and 22,802.21

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Solution

The fourth proportional to 76,102.66, 114,121.88 and 22,802.21 is: 34,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.66 : 114,121.88 = 22,802.21 : x
  2. Step 2: Convert to fraction form
    76,102.66/114,121.88 = 22,802.21/x
  3. Step 3: Cross multiply
    76,102.66x = 114,121.88 × 22,802.21
  4. Step 4: Simplify right side
    76,102.66x = 2,602,230,902.20
  5. Step 5: Solve for x
    x = 2,602,230,902.20/76,102.66
  6. Step 6: Final answer
    x = 34,193.69

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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.