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Finding the Fourth Proportional to 59,431, 82,014.78 and 35,558.68

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Solution

The fourth proportional to 59,431, 82,014.78 and 35,558.68 is: 49,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,431 : 82,014.78 = 35,558.68 : x
  2. Step 2: Convert to fraction form
    59,431/82,014.78 = 35,558.68/x
  3. Step 3: Cross multiply
    59,431x = 82,014.78 × 35,558.68
  4. Step 4: Simplify right side
    59,431x = 2,916,337,317.29
  5. Step 5: Solve for x
    x = 2,916,337,317.29/59,431
  6. Step 6: Final answer
    x = 49,070.98

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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.