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Finding the Fourth Proportional to 65,256.40, 97,880.64 and 23,138.56

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Solution

The fourth proportional to 65,256.40, 97,880.64 and 23,138.56 is: 34,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,256.40 : 97,880.64 = 23,138.56 : x
  2. Step 2: Convert to fraction form
    65,256.40/97,880.64 = 23,138.56/x
  3. Step 3: Cross multiply
    65,256.40x = 97,880.64 × 23,138.56
  4. Step 4: Simplify right side
    65,256.40x = 2,264,817,061.48
  5. Step 5: Solve for x
    x = 2,264,817,061.48/65,256.40
  6. Step 6: Final answer
    x = 34,706.44

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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.