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Finding the Fourth Proportional to 65,083.95, 97,514.48 and 35,522.53

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Solution

The fourth proportional to 65,083.95, 97,514.48 and 35,522.53 is: 53,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.95 : 97,514.48 = 35,522.53 : x
  2. Step 2: Convert to fraction form
    65,083.95/97,514.48 = 35,522.53/x
  3. Step 3: Cross multiply
    65,083.95x = 97,514.48 × 35,522.53
  4. Step 4: Simplify right side
    65,083.95x = 3,463,960,619.84
  5. Step 5: Solve for x
    x = 3,463,960,619.84/65,083.95
  6. Step 6: Final answer
    x = 53,222.96

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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.