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Finding the Fourth Proportional to 97,747, 134,891.58 and 53,035

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Solution

The fourth proportional to 97,747, 134,891.58 and 53,035 is: 73,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,747 : 134,891.58 = 53,035 : x
  2. Step 2: Convert to fraction form
    97,747/134,891.58 = 53,035/x
  3. Step 3: Cross multiply
    97,747x = 134,891.58 × 53,035
  4. Step 4: Simplify right side
    97,747x = 7,153,974,945.30
  5. Step 5: Solve for x
    x = 7,153,974,945.30/97,747
  6. Step 6: Final answer
    x = 73,188.69

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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.