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Finding the Fourth Proportional to 65,897, 98,597.50 and 46,213.96

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Solution

The fourth proportional to 65,897, 98,597.50 and 46,213.96 is: 69,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897 : 98,597.50 = 46,213.96 : x
  2. Step 2: Convert to fraction form
    65,897/98,597.50 = 46,213.96/x
  3. Step 3: Cross multiply
    65,897x = 98,597.50 × 46,213.96
  4. Step 4: Simplify right side
    65,897x = 4,556,580,921.10
  5. Step 5: Solve for x
    x = 4,556,580,921.10/65,897
  6. Step 6: Final answer
    x = 69,147.02

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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.