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Finding the Fourth Proportional to 76,052.63, 114,070.23 and 19,898.16

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Solution

The fourth proportional to 76,052.63, 114,070.23 and 19,898.16 is: 29,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,052.63 : 114,070.23 = 19,898.16 : x
  2. Step 2: Convert to fraction form
    76,052.63/114,070.23 = 19,898.16/x
  3. Step 3: Cross multiply
    76,052.63x = 114,070.23 × 19,898.16
  4. Step 4: Simplify right side
    76,052.63x = 2,269,787,687.78
  5. Step 5: Solve for x
    x = 2,269,787,687.78/76,052.63
  6. Step 6: Final answer
    x = 29,844.96

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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.