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Finding the Fourth Proportional to 52,542.58, 78,628.95 and 32,830.42

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Solution

The fourth proportional to 52,542.58, 78,628.95 and 32,830.42 is: 49,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,542.58 : 78,628.95 = 32,830.42 : x
  2. Step 2: Convert to fraction form
    52,542.58/78,628.95 = 32,830.42/x
  3. Step 3: Cross multiply
    52,542.58x = 78,628.95 × 32,830.42
  4. Step 4: Simplify right side
    52,542.58x = 2,581,421,452.66
  5. Step 5: Solve for x
    x = 2,581,421,452.66/52,542.58
  6. Step 6: Final answer
    x = 49,130.09

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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.