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Finding the Fourth Proportional to 65,446.72, 98,160.36 and 23,884

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Solution

The fourth proportional to 65,446.72, 98,160.36 and 23,884 is: 35,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,446.72 : 98,160.36 = 23,884 : x
  2. Step 2: Convert to fraction form
    65,446.72/98,160.36 = 23,884/x
  3. Step 3: Cross multiply
    65,446.72x = 98,160.36 × 23,884
  4. Step 4: Simplify right side
    65,446.72x = 2,344,462,038.24
  5. Step 5: Solve for x
    x = 2,344,462,038.24/65,446.72
  6. Step 6: Final answer
    x = 35,822.45

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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.