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Finding the Fourth Proportional to 51,772.94, 77,659.52 and 14,333.12

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Solution

The fourth proportional to 51,772.94, 77,659.52 and 14,333.12 is: 21,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772.94 : 77,659.52 = 14,333.12 : x
  2. Step 2: Convert to fraction form
    51,772.94/77,659.52 = 14,333.12/x
  3. Step 3: Cross multiply
    51,772.94x = 77,659.52 × 14,333.12
  4. Step 4: Simplify right side
    51,772.94x = 1,113,103,219.30
  5. Step 5: Solve for x
    x = 1,113,103,219.30/51,772.94
  6. Step 6: Final answer
    x = 21,499.71

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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.