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Finding the Fourth Proportional to 51,784.76, 77,599.83 and 26,791.40

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Solution

The fourth proportional to 51,784.76, 77,599.83 and 26,791.40 is: 40,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784.76 : 77,599.83 = 26,791.40 : x
  2. Step 2: Convert to fraction form
    51,784.76/77,599.83 = 26,791.40/x
  3. Step 3: Cross multiply
    51,784.76x = 77,599.83 × 26,791.40
  4. Step 4: Simplify right side
    51,784.76x = 2,079,008,085.46
  5. Step 5: Solve for x
    x = 2,079,008,085.46/51,784.76
  6. Step 6: Final answer
    x = 40,147.10

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Why These Related Problems?

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