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Finding the Fourth Proportional to 85,294.36, 127,996.88 and 38,547.64

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Solution

The fourth proportional to 85,294.36, 127,996.88 and 38,547.64 is: 57,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.36 : 127,996.88 = 38,547.64 : x
  2. Step 2: Convert to fraction form
    85,294.36/127,996.88 = 38,547.64/x
  3. Step 3: Cross multiply
    85,294.36x = 127,996.88 × 38,547.64
  4. Step 4: Simplify right side
    85,294.36x = 4,933,977,651.36
  5. Step 5: Solve for x
    x = 4,933,977,651.36/85,294.36
  6. Step 6: Final answer
    x = 57,846.47

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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.