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Finding the Fourth Proportional to 97,047, 133,910.28 and 54,604.62

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Solution

The fourth proportional to 97,047, 133,910.28 and 54,604.62 is: 75,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,047 : 133,910.28 = 54,604.62 : x
  2. Step 2: Convert to fraction form
    97,047/133,910.28 = 54,604.62/x
  3. Step 3: Cross multiply
    97,047x = 133,910.28 × 54,604.62
  4. Step 4: Simplify right side
    97,047x = 7,312,119,953.49
  5. Step 5: Solve for x
    x = 7,312,119,953.49/97,047
  6. Step 6: Final answer
    x = 75,346.17

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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.