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Finding the Fourth Proportional to 51,477.84, 77,167.44 and 16,394.76

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Solution

The fourth proportional to 51,477.84, 77,167.44 and 16,394.76 is: 24,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,477.84 : 77,167.44 = 16,394.76 : x
  2. Step 2: Convert to fraction form
    51,477.84/77,167.44 = 16,394.76/x
  3. Step 3: Cross multiply
    51,477.84x = 77,167.44 × 16,394.76
  4. Step 4: Simplify right side
    51,477.84x = 1,265,141,658.61
  5. Step 5: Solve for x
    x = 1,265,141,658.61/51,477.84
  6. Step 6: Final answer
    x = 24,576.43

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1.5x scale

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.