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Finding the Fourth Proportional to 97,767, 134,918.46 and 53,055

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Solution

The fourth proportional to 97,767, 134,918.46 and 53,055 is: 73,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,767 : 134,918.46 = 53,055 : x
  2. Step 2: Convert to fraction form
    97,767/134,918.46 = 53,055/x
  3. Step 3: Cross multiply
    97,767x = 134,918.46 × 53,055
  4. Step 4: Simplify right side
    97,767x = 7,158,098,895.30
  5. Step 5: Solve for x
    x = 7,158,098,895.30/97,767
  6. Step 6: Final answer
    x = 73,215.90

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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.