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Finding the Fourth Proportional to 76,446.80, 114,670.20 and 53,118.80

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Solution

The fourth proportional to 76,446.80, 114,670.20 and 53,118.80 is: 79,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446.80 : 114,670.20 = 53,118.80 : x
  2. Step 2: Convert to fraction form
    76,446.80/114,670.20 = 53,118.80/x
  3. Step 3: Cross multiply
    76,446.80x = 114,670.20 × 53,118.80
  4. Step 4: Simplify right side
    76,446.80x = 6,091,143,419.76
  5. Step 5: Solve for x
    x = 6,091,143,419.76/76,446.80
  6. Step 6: Final answer
    x = 79,678.20

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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.