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Finding the Fourth Proportional to 75,848.32, 113,630.28 and 63,448.03

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Solution

The fourth proportional to 75,848.32, 113,630.28 and 63,448.03 is: 95,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,848.32 : 113,630.28 = 63,448.03 : x
  2. Step 2: Convert to fraction form
    75,848.32/113,630.28 = 63,448.03/x
  3. Step 3: Cross multiply
    75,848.32x = 113,630.28 × 63,448.03
  4. Step 4: Simplify right side
    75,848.32x = 7,209,617,414.35
  5. Step 5: Solve for x
    x = 7,209,617,414.35/75,848.32
  6. Step 6: Final answer
    x = 95,053.09

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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.