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Finding the Fourth Proportional to 38,068.32, 57,128.32 and 13,444.32

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Solution

The fourth proportional to 38,068.32, 57,128.32 and 13,444.32 is: 20,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,068.32 : 57,128.32 = 13,444.32 : x
  2. Step 2: Convert to fraction form
    38,068.32/57,128.32 = 13,444.32/x
  3. Step 3: Cross multiply
    38,068.32x = 57,128.32 × 13,444.32
  4. Step 4: Simplify right side
    38,068.32x = 768,051,415.14
  5. Step 5: Solve for x
    x = 768,051,415.14/38,068.32
  6. Step 6: Final answer
    x = 20,175.61

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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.