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Finding the Fourth Proportional to 38,636.32, 57,965.48 and 12,343.12

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Solution

The fourth proportional to 38,636.32, 57,965.48 and 12,343.12 is: 18,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,636.32 : 57,965.48 = 12,343.12 : x
  2. Step 2: Convert to fraction form
    38,636.32/57,965.48 = 12,343.12/x
  3. Step 3: Cross multiply
    38,636.32x = 57,965.48 × 12,343.12
  4. Step 4: Simplify right side
    38,636.32x = 715,474,875.50
  5. Step 5: Solve for x
    x = 715,474,875.50/38,636.32
  6. Step 6: Final answer
    x = 18,518.19

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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.