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Finding the Fourth Proportional to 105,710.40, 158,564.88 and 25,747.41

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Solution

The fourth proportional to 105,710.40, 158,564.88 and 25,747.41 is: 38,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,710.40 : 158,564.88 = 25,747.41 : x
  2. Step 2: Convert to fraction form
    105,710.40/158,564.88 = 25,747.41/x
  3. Step 3: Cross multiply
    105,710.40x = 158,564.88 × 25,747.41
  4. Step 4: Simplify right side
    105,710.40x = 4,082,634,976.96
  5. Step 5: Solve for x
    x = 4,082,634,976.96/105,710.40
  6. Step 6: Final answer
    x = 38,620.94

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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.