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Finding the Fourth Proportional to 65,009.50, 97,514.26 and 15,761.50

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Solution

The fourth proportional to 65,009.50, 97,514.26 and 15,761.50 is: 23,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.50 : 97,514.26 = 15,761.50 : x
  2. Step 2: Convert to fraction form
    65,009.50/97,514.26 = 15,761.50/x
  3. Step 3: Cross multiply
    65,009.50x = 97,514.26 × 15,761.50
  4. Step 4: Simplify right side
    65,009.50x = 1,536,971,008.99
  5. Step 5: Solve for x
    x = 1,536,971,008.99/65,009.50
  6. Step 6: Final answer
    x = 23,642.25

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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.