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Finding the Fourth Proportional to 65,348.40, 97,963.32 and 23,766

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Solution

The fourth proportional to 65,348.40, 97,963.32 and 23,766 is: 35,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,348.40 : 97,963.32 = 23,766 : x
  2. Step 2: Convert to fraction form
    65,348.40/97,963.32 = 23,766/x
  3. Step 3: Cross multiply
    65,348.40x = 97,963.32 × 23,766
  4. Step 4: Simplify right side
    65,348.40x = 2,328,196,263.12
  5. Step 5: Solve for x
    x = 2,328,196,263.12/65,348.40
  6. Step 6: Final answer
    x = 35,627.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.