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Finding the Fourth Proportional to 47,476, 65,522.64 and 27,604

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Solution

The fourth proportional to 47,476, 65,522.64 and 27,604 is: 38,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,476 : 65,522.64 = 27,604 : x
  2. Step 2: Convert to fraction form
    47,476/65,522.64 = 27,604/x
  3. Step 3: Cross multiply
    47,476x = 65,522.64 × 27,604
  4. Step 4: Simplify right side
    47,476x = 1,808,686,954.56
  5. Step 5: Solve for x
    x = 1,808,686,954.56/47,476
  6. Step 6: Final answer
    x = 38,096.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.