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Finding the Fourth Proportional to 65,209.42, 97,776.61 and 34,777.01

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Solution

The fourth proportional to 65,209.42, 97,776.61 and 34,777.01 is: 52,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.42 : 97,776.61 = 34,777.01 : x
  2. Step 2: Convert to fraction form
    65,209.42/97,776.61 = 34,777.01/x
  3. Step 3: Cross multiply
    65,209.42x = 97,776.61 × 34,777.01
  4. Step 4: Simplify right side
    65,209.42x = 3,400,377,654.85
  5. Step 5: Solve for x
    x = 3,400,377,654.85/65,209.42
  6. Step 6: Final answer
    x = 52,145.50

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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.