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Finding the Fourth Proportional to 65,421.96, 98,138.78 and 21,052.68

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Solution

The fourth proportional to 65,421.96, 98,138.78 and 21,052.68 is: 31,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,421.96 : 98,138.78 = 21,052.68 : x
  2. Step 2: Convert to fraction form
    65,421.96/98,138.78 = 21,052.68/x
  3. Step 3: Cross multiply
    65,421.96x = 98,138.78 × 21,052.68
  4. Step 4: Simplify right side
    65,421.96x = 2,066,084,330.93
  5. Step 5: Solve for x
    x = 2,066,084,330.93/65,421.96
  6. Step 6: Final answer
    x = 31,580.90

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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.