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Finding the Fourth Proportional to 97,455.76, 134,488.97 and 52,743.76

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Solution

The fourth proportional to 97,455.76, 134,488.97 and 52,743.76 is: 72,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,455.76 : 134,488.97 = 52,743.76 : x
  2. Step 2: Convert to fraction form
    97,455.76/134,488.97 = 52,743.76/x
  3. Step 3: Cross multiply
    97,455.76x = 134,488.97 × 52,743.76
  4. Step 4: Simplify right side
    97,455.76x = 7,093,453,956.33
  5. Step 5: Solve for x
    x = 7,093,453,956.33/97,455.76
  6. Step 6: Final answer
    x = 72,786.40

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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.