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Finding the Fourth Proportional to 65,252.16, 97,893.78 and 23,135.91

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Solution

The fourth proportional to 65,252.16, 97,893.78 and 23,135.91 is: 34,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.16 : 97,893.78 = 23,135.91 : x
  2. Step 2: Convert to fraction form
    65,252.16/97,893.78 = 23,135.91/x
  3. Step 3: Cross multiply
    65,252.16x = 97,893.78 × 23,135.91
  4. Step 4: Simplify right side
    65,252.16x = 2,264,861,683.64
  5. Step 5: Solve for x
    x = 2,264,861,683.64/65,252.16
  6. Step 6: Final answer
    x = 34,709.37

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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.