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Finding the Fourth Proportional to 65,255.63, 97,883.84 and 23,136.71

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Solution

The fourth proportional to 65,255.63, 97,883.84 and 23,136.71 is: 34,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,255.63 : 97,883.84 = 23,136.71 : x
  2. Step 2: Convert to fraction form
    65,255.63/97,883.84 = 23,136.71/x
  3. Step 3: Cross multiply
    65,255.63x = 97,883.84 × 23,136.71
  4. Step 4: Simplify right side
    65,255.63x = 2,264,709,588.19
  5. Step 5: Solve for x
    x = 2,264,709,588.19/65,255.63
  6. Step 6: Final answer
    x = 34,705.20

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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.