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Finding the Fourth Proportional to 59,780, 82,496.40 and 34,644.08

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Solution

The fourth proportional to 59,780, 82,496.40 and 34,644.08 is: 47,808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,780 : 82,496.40 = 34,644.08 : x
  2. Step 2: Convert to fraction form
    59,780/82,496.40 = 34,644.08/x
  3. Step 3: Cross multiply
    59,780x = 82,496.40 × 34,644.08
  4. Step 4: Simplify right side
    59,780x = 2,858,011,881.31
  5. Step 5: Solve for x
    x = 2,858,011,881.31/59,780
  6. Step 6: Final answer
    x = 47,808.83

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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.