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Finding the Fourth Proportional to 105,318.82, 157,985.52 and 35,189.02

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Solution

The fourth proportional to 105,318.82, 157,985.52 and 35,189.02 is: 52,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,318.82 : 157,985.52 = 35,189.02 : x
  2. Step 2: Convert to fraction form
    105,318.82/157,985.52 = 35,189.02/x
  3. Step 3: Cross multiply
    105,318.82x = 157,985.52 × 35,189.02
  4. Step 4: Simplify right side
    105,318.82x = 5,559,355,622.99
  5. Step 5: Solve for x
    x = 5,559,355,622.99/105,318.82
  6. Step 6: Final answer
    x = 52,785.97

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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.