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Finding the Fourth Proportional to 43,830, 65,745 and 14,646

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Solution

The fourth proportional to 43,830, 65,745 and 14,646 is: 21,969

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,830 : 65,745 = 14,646 : x
  2. Step 2: Convert to fraction form
    43,830/65,745 = 14,646/x
  3. Step 3: Cross multiply
    43,830x = 65,745 × 14,646
  4. Step 4: Simplify right side
    43,830x = 962,901,270
  5. Step 5: Solve for x
    x = 962,901,270/43,830
  6. Step 6: Final answer
    x = 21,969

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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.