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Finding the Fourth Proportional to 94,169, 129,964.77 and 54,425

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Solution

The fourth proportional to 94,169, 129,964.77 and 54,425 is: 75,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,169 : 129,964.77 = 54,425 : x
  2. Step 2: Convert to fraction form
    94,169/129,964.77 = 54,425/x
  3. Step 3: Cross multiply
    94,169x = 129,964.77 × 54,425
  4. Step 4: Simplify right side
    94,169x = 7,073,332,607.25
  5. Step 5: Solve for x
    x = 7,073,332,607.25/94,169
  6. Step 6: Final answer
    x = 75,113.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.