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Finding the Fourth Proportional to 104,970.26, 157,439.16 and 38,394.82

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Solution

The fourth proportional to 104,970.26, 157,439.16 and 38,394.82 is: 57,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,970.26 : 157,439.16 = 38,394.82 : x
  2. Step 2: Convert to fraction form
    104,970.26/157,439.16 = 38,394.82/x
  3. Step 3: Cross multiply
    104,970.26x = 157,439.16 × 38,394.82
  4. Step 4: Simplify right side
    104,970.26x = 6,044,848,209.15
  5. Step 5: Solve for x
    x = 6,044,848,209.15/104,970.26
  6. Step 6: Final answer
    x = 57,586.29

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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.