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Finding the Fourth Proportional to 116,996.28, 175,509 and 38,089.32

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Solution

The fourth proportional to 116,996.28, 175,509 and 38,089.32 is: 57,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,996.28 : 175,509 = 38,089.32 : x
  2. Step 2: Convert to fraction form
    116,996.28/175,509 = 38,089.32/x
  3. Step 3: Cross multiply
    116,996.28x = 175,509 × 38,089.32
  4. Step 4: Simplify right side
    116,996.28x = 6,685,018,463.88
  5. Step 5: Solve for x
    x = 6,685,018,463.88/116,996.28
  6. Step 6: Final answer
    x = 57,138.73

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1.5x scale

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.