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Finding the Fourth Proportional to 51,397.60, 77,096.64 and 16,340.80

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Solution

The fourth proportional to 51,397.60, 77,096.64 and 16,340.80 is: 24,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,397.60 : 77,096.64 = 16,340.80 : x
  2. Step 2: Convert to fraction form
    51,397.60/77,096.64 = 16,340.80/x
  3. Step 3: Cross multiply
    51,397.60x = 77,096.64 × 16,340.80
  4. Step 4: Simplify right side
    51,397.60x = 1,259,820,774.91
  5. Step 5: Solve for x
    x = 1,259,820,774.91/51,397.60
  6. Step 6: Final answer
    x = 24,511.28

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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.