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Finding the Fourth Proportional to 59,782, 82,499.16 and 34,646.08

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Solution

The fourth proportional to 59,782, 82,499.16 and 34,646.08 is: 47,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,782 : 82,499.16 = 34,646.08 : x
  2. Step 2: Convert to fraction form
    59,782/82,499.16 = 34,646.08/x
  3. Step 3: Cross multiply
    59,782x = 82,499.16 × 34,646.08
  4. Step 4: Simplify right side
    59,782x = 2,858,272,497.29
  5. Step 5: Solve for x
    x = 2,858,272,497.29/59,782
  6. Step 6: Final answer
    x = 47,811.59

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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.