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Finding the Fourth Proportional to 51,344.64, 70,856.64 and 28,984.32

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Solution

The fourth proportional to 51,344.64, 70,856.64 and 28,984.32 is: 39,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,344.64 : 70,856.64 = 28,984.32 : x
  2. Step 2: Convert to fraction form
    51,344.64/70,856.64 = 28,984.32/x
  3. Step 3: Cross multiply
    51,344.64x = 70,856.64 × 28,984.32
  4. Step 4: Simplify right side
    51,344.64x = 2,053,731,527.88
  5. Step 5: Solve for x
    x = 2,053,731,527.88/51,344.64
  6. Step 6: Final answer
    x = 39,998.95

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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.