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Finding the Fourth Proportional to 59,646.54, 82,307.43 and 32,788.38

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Solution

The fourth proportional to 59,646.54, 82,307.43 and 32,788.38 is: 45,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,646.54 : 82,307.43 = 32,788.38 : x
  2. Step 2: Convert to fraction form
    59,646.54/82,307.43 = 32,788.38/x
  3. Step 3: Cross multiply
    59,646.54x = 82,307.43 × 32,788.38
  4. Step 4: Simplify right side
    59,646.54x = 2,698,727,291.66
  5. Step 5: Solve for x
    x = 2,698,727,291.66/59,646.54
  6. Step 6: Final answer
    x = 45,245.33

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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.