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Finding the Fourth Proportional to 64,849.60, 97,220.40 and 27,438.40

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Solution

The fourth proportional to 64,849.60, 97,220.40 and 27,438.40 is: 41,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,849.60 : 97,220.40 = 27,438.40 : x
  2. Step 2: Convert to fraction form
    64,849.60/97,220.40 = 27,438.40/x
  3. Step 3: Cross multiply
    64,849.60x = 97,220.40 × 27,438.40
  4. Step 4: Simplify right side
    64,849.60x = 2,667,572,223.36
  5. Step 5: Solve for x
    x = 2,667,572,223.36/64,849.60
  6. Step 6: Final answer
    x = 41,134.75

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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.