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Finding the Fourth Proportional to 65,131.46, 97,631.55 and 25,673.30

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Solution

The fourth proportional to 65,131.46, 97,631.55 and 25,673.30 is: 38,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,131.46 : 97,631.55 = 25,673.30 : x
  2. Step 2: Convert to fraction form
    65,131.46/97,631.55 = 25,673.30/x
  3. Step 3: Cross multiply
    65,131.46x = 97,631.55 × 25,673.30
  4. Step 4: Simplify right side
    65,131.46x = 2,506,524,072.62
  5. Step 5: Solve for x
    x = 2,506,524,072.62/65,131.46
  6. Step 6: Final answer
    x = 38,484.08

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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.