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Finding the Fourth Proportional to 27,561.87, 38,034.70 and 16,078.98

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Solution

The fourth proportional to 27,561.87, 38,034.70 and 16,078.98 is: 22,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,561.87 : 38,034.70 = 16,078.98 : x
  2. Step 2: Convert to fraction form
    27,561.87/38,034.70 = 16,078.98/x
  3. Step 3: Cross multiply
    27,561.87x = 38,034.70 × 16,078.98
  4. Step 4: Simplify right side
    27,561.87x = 611,559,176.07
  5. Step 5: Solve for x
    x = 611,559,176.07/27,561.87
  6. Step 6: Final answer
    x = 22,188.60

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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.