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Finding the Fourth Proportional to 175,760.64, 263,638.44 and 42,642

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Solution

The fourth proportional to 175,760.64, 263,638.44 and 42,642 is: 63,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,760.64 : 263,638.44 = 42,642 : x
  2. Step 2: Convert to fraction form
    175,760.64/263,638.44 = 42,642/x
  3. Step 3: Cross multiply
    175,760.64x = 263,638.44 × 42,642
  4. Step 4: Simplify right side
    175,760.64x = 11,242,070,358.48
  5. Step 5: Solve for x
    x = 11,242,070,358.48/175,760.64
  6. Step 6: Final answer
    x = 63,962.39

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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.