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Finding the Fourth Proportional to 64,839, 97,266.60 and 23,286

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Solution

The fourth proportional to 64,839, 97,266.60 and 23,286 is: 34,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,839 : 97,266.60 = 23,286 : x
  2. Step 2: Convert to fraction form
    64,839/97,266.60 = 23,286/x
  3. Step 3: Cross multiply
    64,839x = 97,266.60 × 23,286
  4. Step 4: Simplify right side
    64,839x = 2,264,950,047.60
  5. Step 5: Solve for x
    x = 2,264,950,047.60/64,839
  6. Step 6: Final answer
    x = 34,931.91

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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.