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Finding the Fourth Proportional to 47,049.80, 64,928.64 and 25,829

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Solution

The fourth proportional to 47,049.80, 64,928.64 and 25,829 is: 35,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,049.80 : 64,928.64 = 25,829 : x
  2. Step 2: Convert to fraction form
    47,049.80/64,928.64 = 25,829/x
  3. Step 3: Cross multiply
    47,049.80x = 64,928.64 × 25,829
  4. Step 4: Simplify right side
    47,049.80x = 1,677,041,842.56
  5. Step 5: Solve for x
    x = 1,677,041,842.56/47,049.80
  6. Step 6: Final answer
    x = 35,643.97

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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.