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Finding the Fourth Proportional to 97,048.72, 133,922.10 and 54,610

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Solution

The fourth proportional to 97,048.72, 133,922.10 and 54,610 is: 75,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,048.72 : 133,922.10 = 54,610 : x
  2. Step 2: Convert to fraction form
    97,048.72/133,922.10 = 54,610/x
  3. Step 3: Cross multiply
    97,048.72x = 133,922.10 × 54,610
  4. Step 4: Simplify right side
    97,048.72x = 7,313,485,881
  5. Step 5: Solve for x
    x = 7,313,485,881/97,048.72
  6. Step 6: Final answer
    x = 75,358.91

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