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Finding the Fourth Proportional to 97,756.54, 134,900.29 and 54,732

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Solution

The fourth proportional to 97,756.54, 134,900.29 and 54,732 is: 75,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,756.54 : 134,900.29 = 54,732 : x
  2. Step 2: Convert to fraction form
    97,756.54/134,900.29 = 54,732/x
  3. Step 3: Cross multiply
    97,756.54x = 134,900.29 × 54,732
  4. Step 4: Simplify right side
    97,756.54x = 7,383,362,672.28
  5. Step 5: Solve for x
    x = 7,383,362,672.28/97,756.54
  6. Step 6: Final answer
    x = 75,528.07

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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.