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Finding the Fourth Proportional to 59,644.40, 82,309.54 and 32,788.64

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Solution

The fourth proportional to 59,644.40, 82,309.54 and 32,788.64 is: 45,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,644.40 : 82,309.54 = 32,788.64 : x
  2. Step 2: Convert to fraction form
    59,644.40/82,309.54 = 32,788.64/x
  3. Step 3: Cross multiply
    59,644.40x = 82,309.54 × 32,788.64
  4. Step 4: Simplify right side
    59,644.40x = 2,698,818,147.12
  5. Step 5: Solve for x
    x = 2,698,818,147.12/59,644.40
  6. Step 6: Final answer
    x = 45,248.47

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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.