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Finding the Fourth Proportional to 38,042, 57,012.72 and 27,547.12

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Solution

The fourth proportional to 38,042, 57,012.72 and 27,547.12 is: 41,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042 : 57,012.72 = 27,547.12 : x
  2. Step 2: Convert to fraction form
    38,042/57,012.72 = 27,547.12/x
  3. Step 3: Cross multiply
    38,042x = 57,012.72 × 27,547.12
  4. Step 4: Simplify right side
    38,042x = 1,570,536,239.37
  5. Step 5: Solve for x
    x = 1,570,536,239.37/38,042
  6. Step 6: Final answer
    x = 41,284.27

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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.