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Finding the Fourth Proportional to 34,633.80, 47,794.05 and 19,526.49

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Solution

The fourth proportional to 34,633.80, 47,794.05 and 19,526.49 is: 26,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,633.80 : 47,794.05 = 19,526.49 : x
  2. Step 2: Convert to fraction form
    34,633.80/47,794.05 = 19,526.49/x
  3. Step 3: Cross multiply
    34,633.80x = 47,794.05 × 19,526.49
  4. Step 4: Simplify right side
    34,633.80x = 933,250,039.38
  5. Step 5: Solve for x
    x = 933,250,039.38/34,633.80
  6. Step 6: Final answer
    x = 26,946.22

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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.