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Finding the Fourth Proportional to 33,117.63, 49,707.72 and 12,078

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Solution

The fourth proportional to 33,117.63, 49,707.72 and 12,078 is: 18,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,117.63 : 49,707.72 = 12,078 : x
  2. Step 2: Convert to fraction form
    33,117.63/49,707.72 = 12,078/x
  3. Step 3: Cross multiply
    33,117.63x = 49,707.72 × 12,078
  4. Step 4: Simplify right side
    33,117.63x = 600,369,842.16
  5. Step 5: Solve for x
    x = 600,369,842.16/33,117.63
  6. Step 6: Final answer
    x = 18,128.41

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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.