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Finding the Fourth Proportional to 95,714.60, 143,507.10 and 50,743.40

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Solution

The fourth proportional to 95,714.60, 143,507.10 and 50,743.40 is: 76,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,714.60 : 143,507.10 = 50,743.40 : x
  2. Step 2: Convert to fraction form
    95,714.60/143,507.10 = 50,743.40/x
  3. Step 3: Cross multiply
    95,714.60x = 143,507.10 × 50,743.40
  4. Step 4: Simplify right side
    95,714.60x = 7,282,038,178.14
  5. Step 5: Solve for x
    x = 7,282,038,178.14/95,714.60
  6. Step 6: Final answer
    x = 76,080.75

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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.