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Finding the Fourth Proportional to 51,472.10, 77,200.95 and 16,415.30

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Solution

The fourth proportional to 51,472.10, 77,200.95 and 16,415.30 is: 24,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,472.10 : 77,200.95 = 16,415.30 : x
  2. Step 2: Convert to fraction form
    51,472.10/77,200.95 = 16,415.30/x
  3. Step 3: Cross multiply
    51,472.10x = 77,200.95 × 16,415.30
  4. Step 4: Simplify right side
    51,472.10x = 1,267,276,754.54
  5. Step 5: Solve for x
    x = 1,267,276,754.54/51,472.10
  6. Step 6: Final answer
    x = 24,620.65

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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.