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Finding the Fourth Proportional to 65,477.08, 98,133.45 and 27,993.10

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Solution

The fourth proportional to 65,477.08, 98,133.45 and 27,993.10 is: 41,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,477.08 : 98,133.45 = 27,993.10 : x
  2. Step 2: Convert to fraction form
    65,477.08/98,133.45 = 27,993.10/x
  3. Step 3: Cross multiply
    65,477.08x = 98,133.45 × 27,993.10
  4. Step 4: Simplify right side
    65,477.08x = 2,747,059,549.08
  5. Step 5: Solve for x
    x = 2,747,059,549.08/65,477.08
  6. Step 6: Final answer
    x = 41,954.52

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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.