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Finding the Fourth Proportional to 65,195.31, 97,801.20 and 18,448.20

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Solution

The fourth proportional to 65,195.31, 97,801.20 and 18,448.20 is: 27,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195.31 : 97,801.20 = 18,448.20 : x
  2. Step 2: Convert to fraction form
    65,195.31/97,801.20 = 18,448.20/x
  3. Step 3: Cross multiply
    65,195.31x = 97,801.20 × 18,448.20
  4. Step 4: Simplify right side
    65,195.31x = 1,804,256,097.84
  5. Step 5: Solve for x
    x = 1,804,256,097.84/65,195.31
  6. Step 6: Final answer
    x = 27,674.63

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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.