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Finding the Fourth Proportional to 65,083.92, 97,514.43 and 35,522.50

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Solution

The fourth proportional to 65,083.92, 97,514.43 and 35,522.50 is: 53,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.92 : 97,514.43 = 35,522.50 : x
  2. Step 2: Convert to fraction form
    65,083.92/97,514.43 = 35,522.50/x
  3. Step 3: Cross multiply
    65,083.92x = 97,514.43 × 35,522.50
  4. Step 4: Simplify right side
    65,083.92x = 3,463,956,162.06
  5. Step 5: Solve for x
    x = 3,463,956,162.06/65,083.92
  6. Step 6: Final answer
    x = 53,222.92

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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.