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Finding the Fourth Proportional to 65,352.72, 98,009.64 and 23,790

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Solution

The fourth proportional to 65,352.72, 98,009.64 and 23,790 is: 35,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,352.72 : 98,009.64 = 23,790 : x
  2. Step 2: Convert to fraction form
    65,352.72/98,009.64 = 23,790/x
  3. Step 3: Cross multiply
    65,352.72x = 98,009.64 × 23,790
  4. Step 4: Simplify right side
    65,352.72x = 2,331,649,335.60
  5. Step 5: Solve for x
    x = 2,331,649,335.60/65,352.72
  6. Step 6: Final answer
    x = 35,677.92

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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.