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Finding the Fourth Proportional to 117,575.82, 176,308.14 and 45,562.44

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Solution

The fourth proportional to 117,575.82, 176,308.14 and 45,562.44 is: 68,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,575.82 : 176,308.14 = 45,562.44 : x
  2. Step 2: Convert to fraction form
    117,575.82/176,308.14 = 45,562.44/x
  3. Step 3: Cross multiply
    117,575.82x = 176,308.14 × 45,562.44
  4. Step 4: Simplify right side
    117,575.82x = 8,033,029,050.26
  5. Step 5: Solve for x
    x = 8,033,029,050.26/117,575.82
  6. Step 6: Final answer
    x = 68,322.12

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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.