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Finding the Fourth Proportional to 65,057.34, 97,618.77 and 25,642.74

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Solution

The fourth proportional to 65,057.34, 97,618.77 and 25,642.74 is: 38,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,057.34 : 97,618.77 = 25,642.74 : x
  2. Step 2: Convert to fraction form
    65,057.34/97,618.77 = 25,642.74/x
  3. Step 3: Cross multiply
    65,057.34x = 97,618.77 × 25,642.74
  4. Step 4: Simplify right side
    65,057.34x = 2,503,212,738.23
  5. Step 5: Solve for x
    x = 2,503,212,738.23/65,057.34
  6. Step 6: Final answer
    x = 38,477.02

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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.