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Finding the Fourth Proportional to 59,780.34, 82,494 and 32,923.98

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Solution

The fourth proportional to 59,780.34, 82,494 and 32,923.98 is: 45,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,780.34 : 82,494 = 32,923.98 : x
  2. Step 2: Convert to fraction form
    59,780.34/82,494 = 32,923.98/x
  3. Step 3: Cross multiply
    59,780.34x = 82,494 × 32,923.98
  4. Step 4: Simplify right side
    59,780.34x = 2,716,030,806.12
  5. Step 5: Solve for x
    x = 2,716,030,806.12/59,780.34
  6. Step 6: Final answer
    x = 45,433.51

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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.