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Finding the Fourth Proportional to 64,675.62, 97,033.68 and 41,130

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Solution

The fourth proportional to 64,675.62, 97,033.68 and 41,130 is: 61,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,675.62 : 97,033.68 = 41,130 : x
  2. Step 2: Convert to fraction form
    64,675.62/97,033.68 = 41,130/x
  3. Step 3: Cross multiply
    64,675.62x = 97,033.68 × 41,130
  4. Step 4: Simplify right side
    64,675.62x = 3,990,995,258.40
  5. Step 5: Solve for x
    x = 3,990,995,258.40/64,675.62
  6. Step 6: Final answer
    x = 61,707.88

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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.