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Finding the Fourth Proportional to 27,078.58, 40,613.67 and 10,446.40

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Solution

The fourth proportional to 27,078.58, 40,613.67 and 10,446.40 is: 15,667.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078.58 : 40,613.67 = 10,446.40 : x
  2. Step 2: Convert to fraction form
    27,078.58/40,613.67 = 10,446.40/x
  3. Step 3: Cross multiply
    27,078.58x = 40,613.67 × 10,446.40
  4. Step 4: Simplify right side
    27,078.58x = 424,266,642.29
  5. Step 5: Solve for x
    x = 424,266,642.29/27,078.58
  6. Step 6: Final answer
    x = 15,667.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.