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Finding the Fourth Proportional to 105,235.28, 157,835.88 and 38,659.04

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Solution

The fourth proportional to 105,235.28, 157,835.88 and 38,659.04 is: 57,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,235.28 : 157,835.88 = 38,659.04 : x
  2. Step 2: Convert to fraction form
    105,235.28/157,835.88 = 38,659.04/x
  3. Step 3: Cross multiply
    105,235.28x = 157,835.88 × 38,659.04
  4. Step 4: Simplify right side
    105,235.28x = 6,101,783,598.36
  5. Step 5: Solve for x
    x = 6,101,783,598.36/105,235.28
  6. Step 6: Final answer
    x = 57,982.30

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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.