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Finding the Fourth Proportional to 65,014.75, 97,522.13 and 15,766.75

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Solution

The fourth proportional to 65,014.75, 97,522.13 and 15,766.75 is: 23,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.75 : 97,522.13 = 15,766.75 : x
  2. Step 2: Convert to fraction form
    65,014.75/97,522.13 = 15,766.75/x
  3. Step 3: Cross multiply
    65,014.75x = 97,522.13 × 15,766.75
  4. Step 4: Simplify right side
    65,014.75x = 1,537,607,043.18
  5. Step 5: Solve for x
    x = 1,537,607,043.18/65,014.75
  6. Step 6: Final answer
    x = 23,650.13

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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.