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Finding the Fourth Proportional to 72,583.82, 99,958.29 and 65,352.14

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Solution

The fourth proportional to 72,583.82, 99,958.29 and 65,352.14 is: 89,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,583.82 : 99,958.29 = 65,352.14 : x
  2. Step 2: Convert to fraction form
    72,583.82/99,958.29 = 65,352.14/x
  3. Step 3: Cross multiply
    72,583.82x = 99,958.29 × 65,352.14
  4. Step 4: Simplify right side
    72,583.82x = 6,532,488,162.24
  5. Step 5: Solve for x
    x = 6,532,488,162.24/72,583.82
  6. Step 6: Final answer
    x = 89,999.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.