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Finding the Fourth Proportional to 65,765.82, 98,637.80 and 23,637.37

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Solution

The fourth proportional to 65,765.82, 98,637.80 and 23,637.37 is: 35,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,765.82 : 98,637.80 = 23,637.37 : x
  2. Step 2: Convert to fraction form
    65,765.82/98,637.80 = 23,637.37/x
  3. Step 3: Cross multiply
    65,765.82x = 98,637.80 × 23,637.37
  4. Step 4: Simplify right side
    65,765.82x = 2,331,538,127.71
  5. Step 5: Solve for x
    x = 2,331,538,127.71/65,765.82
  6. Step 6: Final answer
    x = 35,452.12

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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.