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Finding the Fourth Proportional to 65,143.98, 97,734.45 and 33,577.17

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Solution

The fourth proportional to 65,143.98, 97,734.45 and 33,577.17 is: 50,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143.98 : 97,734.45 = 33,577.17 : x
  2. Step 2: Convert to fraction form
    65,143.98/97,734.45 = 33,577.17/x
  3. Step 3: Cross multiply
    65,143.98x = 97,734.45 × 33,577.17
  4. Step 4: Simplify right side
    65,143.98x = 3,281,646,242.51
  5. Step 5: Solve for x
    x = 3,281,646,242.51/65,143.98
  6. Step 6: Final answer
    x = 50,375.28

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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.