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Finding the Fourth Proportional to 64,966.26, 97,455.75 and 27,007.68

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Solution

The fourth proportional to 64,966.26, 97,455.75 and 27,007.68 is: 40,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966.26 : 97,455.75 = 27,007.68 : x
  2. Step 2: Convert to fraction form
    64,966.26/97,455.75 = 27,007.68/x
  3. Step 3: Cross multiply
    64,966.26x = 97,455.75 × 27,007.68
  4. Step 4: Simplify right side
    64,966.26x = 2,632,053,710.16
  5. Step 5: Solve for x
    x = 2,632,053,710.16/64,966.26
  6. Step 6: Final answer
    x = 40,514.16

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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.