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Finding the Fourth Proportional to 65,135.96, 97,715.64 and 23,040.44

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Solution

The fourth proportional to 65,135.96, 97,715.64 and 23,040.44 is: 34,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135.96 : 97,715.64 = 23,040.44 : x
  2. Step 2: Convert to fraction form
    65,135.96/97,715.64 = 23,040.44/x
  3. Step 3: Cross multiply
    65,135.96x = 97,715.64 × 23,040.44
  4. Step 4: Simplify right side
    65,135.96x = 2,251,411,340.48
  5. Step 5: Solve for x
    x = 2,251,411,340.48/65,135.96
  6. Step 6: Final answer
    x = 34,564.80

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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.