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Finding the Fourth Proportional to 65,004.56, 97,514.16 and 25,556.48

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Solution

The fourth proportional to 65,004.56, 97,514.16 and 25,556.48 is: 38,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004.56 : 97,514.16 = 25,556.48 : x
  2. Step 2: Convert to fraction form
    65,004.56/97,514.16 = 25,556.48/x
  3. Step 3: Cross multiply
    65,004.56x = 97,514.16 × 25,556.48
  4. Step 4: Simplify right side
    65,004.56x = 2,492,118,679.76
  5. Step 5: Solve for x
    x = 2,492,118,679.76/65,004.56
  6. Step 6: Final answer
    x = 38,337.60

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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.