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Finding the Fourth Proportional to 97,760.54, 134,909.07 and 53,048.54

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Solution

The fourth proportional to 97,760.54, 134,909.07 and 53,048.54 is: 73,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,760.54 : 134,909.07 = 53,048.54 : x
  2. Step 2: Convert to fraction form
    97,760.54/134,909.07 = 53,048.54/x
  3. Step 3: Cross multiply
    97,760.54x = 134,909.07 × 53,048.54
  4. Step 4: Simplify right side
    97,760.54x = 7,156,729,196.26
  5. Step 5: Solve for x
    x = 7,156,729,196.26/97,760.54
  6. Step 6: Final answer
    x = 73,206.73

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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.