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Finding the Fourth Proportional to 65,407.34, 98,125.50 and 23,854.34

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Solution

The fourth proportional to 65,407.34, 98,125.50 and 23,854.34 is: 35,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.34 : 98,125.50 = 23,854.34 : x
  2. Step 2: Convert to fraction form
    65,407.34/98,125.50 = 23,854.34/x
  3. Step 3: Cross multiply
    65,407.34x = 98,125.50 × 23,854.34
  4. Step 4: Simplify right side
    65,407.34x = 2,340,719,039.67
  5. Step 5: Solve for x
    x = 2,340,719,039.67/65,407.34
  6. Step 6: Final answer
    x = 35,786.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.