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Finding the Fourth Proportional to 113,063.82, 169,613.04 and 37,138.50

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Solution

The fourth proportional to 113,063.82, 169,613.04 and 37,138.50 is: 55,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,063.82 : 169,613.04 = 37,138.50 : x
  2. Step 2: Convert to fraction form
    113,063.82/169,613.04 = 37,138.50/x
  3. Step 3: Cross multiply
    113,063.82x = 169,613.04 × 37,138.50
  4. Step 4: Simplify right side
    113,063.82x = 6,299,173,886.04
  5. Step 5: Solve for x
    x = 6,299,173,886.04/113,063.82
  6. Step 6: Final answer
    x = 55,713.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.