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Finding the Fourth Proportional to 52,612.63, 78,891.28 and 35,977.42

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Solution

The fourth proportional to 52,612.63, 78,891.28 and 35,977.42 is: 53,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,612.63 : 78,891.28 = 35,977.42 : x
  2. Step 2: Convert to fraction form
    52,612.63/78,891.28 = 35,977.42/x
  3. Step 3: Cross multiply
    52,612.63x = 78,891.28 × 35,977.42
  4. Step 4: Simplify right side
    52,612.63x = 2,838,304,714.90
  5. Step 5: Solve for x
    x = 2,838,304,714.90/52,612.63
  6. Step 6: Final answer
    x = 53,947.21

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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.