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Finding the Fourth Proportional to 114,077.16, 171,114.66 and 30,971.16

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Solution

The fourth proportional to 114,077.16, 171,114.66 and 30,971.16 is: 46,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,077.16 : 171,114.66 = 30,971.16 : x
  2. Step 2: Convert to fraction form
    114,077.16/171,114.66 = 30,971.16/x
  3. Step 3: Cross multiply
    114,077.16x = 171,114.66 × 30,971.16
  4. Step 4: Simplify right side
    114,077.16x = 5,299,619,513.21
  5. Step 5: Solve for x
    x = 5,299,619,513.21/114,077.16
  6. Step 6: Final answer
    x = 46,456.45

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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.