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Finding the Fourth Proportional to 64,513, 96,700.38 and 27,063.64

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Solution

The fourth proportional to 64,513, 96,700.38 and 27,063.64 is: 40,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,513 : 96,700.38 = 27,063.64 : x
  2. Step 2: Convert to fraction form
    64,513/96,700.38 = 27,063.64/x
  3. Step 3: Cross multiply
    64,513x = 96,700.38 × 27,063.64
  4. Step 4: Simplify right side
    64,513x = 2,617,064,272.18
  5. Step 5: Solve for x
    x = 2,617,064,272.18/64,513
  6. Step 6: Final answer
    x = 40,566.46

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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.