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Finding the Fourth Proportional to 114,581.76, 171,881.87 and 43,538.42

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Solution

The fourth proportional to 114,581.76, 171,881.87 and 43,538.42 is: 65,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,581.76 : 171,881.87 = 43,538.42 : x
  2. Step 2: Convert to fraction form
    114,581.76/171,881.87 = 43,538.42/x
  3. Step 3: Cross multiply
    114,581.76x = 171,881.87 × 43,538.42
  4. Step 4: Simplify right side
    114,581.76x = 7,483,463,969.34
  5. Step 5: Solve for x
    x = 7,483,463,969.34/114,581.76
  6. Step 6: Final answer
    x = 65,311.13

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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.