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Finding the Fourth Proportional to 65,076.29, 97,503.03 and 35,514.89

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Solution

The fourth proportional to 65,076.29, 97,503.03 and 35,514.89 is: 53,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,076.29 : 97,503.03 = 35,514.89 : x
  2. Step 2: Convert to fraction form
    65,076.29/97,503.03 = 35,514.89/x
  3. Step 3: Cross multiply
    65,076.29x = 97,503.03 × 35,514.89
  4. Step 4: Simplify right side
    65,076.29x = 3,462,809,263.24
  5. Step 5: Solve for x
    x = 3,462,809,263.24/65,076.29
  6. Step 6: Final answer
    x = 53,211.54

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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.