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Finding the Fourth Proportional to 59,778, 82,493.64 and 34,642.08

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Solution

The fourth proportional to 59,778, 82,493.64 and 34,642.08 is: 47,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,778 : 82,493.64 = 34,642.08 : x
  2. Step 2: Convert to fraction form
    59,778/82,493.64 = 34,642.08/x
  3. Step 3: Cross multiply
    59,778x = 82,493.64 × 34,642.08
  4. Step 4: Simplify right side
    59,778x = 2,857,751,276.37
  5. Step 5: Solve for x
    x = 2,857,751,276.37/59,778
  6. Step 6: Final answer
    x = 47,806.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.