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Finding the Fourth Proportional to 65,507.54, 98,268.63 and 23,397.38

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Solution

The fourth proportional to 65,507.54, 98,268.63 and 23,397.38 is: 35,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507.54 : 98,268.63 = 23,397.38 : x
  2. Step 2: Convert to fraction form
    65,507.54/98,268.63 = 23,397.38/x
  3. Step 3: Cross multiply
    65,507.54x = 98,268.63 × 23,397.38
  4. Step 4: Simplify right side
    65,507.54x = 2,299,228,478.19
  5. Step 5: Solve for x
    x = 2,299,228,478.19/65,507.54
  6. Step 6: Final answer
    x = 35,098.68

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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.