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Finding the Fourth Proportional to 65,405.25, 98,122.50 and 23,852.25

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Solution

The fourth proportional to 65,405.25, 98,122.50 and 23,852.25 is: 35,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,405.25 : 98,122.50 = 23,852.25 : x
  2. Step 2: Convert to fraction form
    65,405.25/98,122.50 = 23,852.25/x
  3. Step 3: Cross multiply
    65,405.25x = 98,122.50 × 23,852.25
  4. Step 4: Simplify right side
    65,405.25x = 2,340,442,400.63
  5. Step 5: Solve for x
    x = 2,340,442,400.63/65,405.25
  6. Step 6: Final answer
    x = 35,783.71

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1.5x scale

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.