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Finding the Fourth Proportional to 97,638.76, 146,290.96 and 53,296.64

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Solution

The fourth proportional to 97,638.76, 146,290.96 and 53,296.64 is: 79,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,638.76 : 146,290.96 = 53,296.64 : x
  2. Step 2: Convert to fraction form
    97,638.76/146,290.96 = 53,296.64/x
  3. Step 3: Cross multiply
    97,638.76x = 146,290.96 × 53,296.64
  4. Step 4: Simplify right side
    97,638.76x = 7,796,816,630.37
  5. Step 5: Solve for x
    x = 7,796,816,630.37/97,638.76
  6. Step 6: Final answer
    x = 79,853.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.