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Finding the Fourth Proportional to 52,768, 72,808.20 and 32,354.44

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Solution

The fourth proportional to 52,768, 72,808.20 and 32,354.44 is: 44,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,768 : 72,808.20 = 32,354.44 : x
  2. Step 2: Convert to fraction form
    52,768/72,808.20 = 32,354.44/x
  3. Step 3: Cross multiply
    52,768x = 72,808.20 × 32,354.44
  4. Step 4: Simplify right side
    52,768x = 2,355,668,538.41
  5. Step 5: Solve for x
    x = 2,355,668,538.41/52,768
  6. Step 6: Final answer
    x = 44,641.99

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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.