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Finding the Fourth Proportional to 47,643.80, 71,465.70 and 32,898.20

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Solution

The fourth proportional to 47,643.80, 71,465.70 and 32,898.20 is: 49,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.80 : 71,465.70 = 32,898.20 : x
  2. Step 2: Convert to fraction form
    47,643.80/71,465.70 = 32,898.20/x
  3. Step 3: Cross multiply
    47,643.80x = 71,465.70 × 32,898.20
  4. Step 4: Simplify right side
    47,643.80x = 2,351,092,891.74
  5. Step 5: Solve for x
    x = 2,351,092,891.74/47,643.80
  6. Step 6: Final answer
    x = 49,347.30

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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.