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Finding the Fourth Proportional to 101,513.63, 140,089.13 and 54,946.49

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Solution

The fourth proportional to 101,513.63, 140,089.13 and 54,946.49 is: 75,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,513.63 : 140,089.13 = 54,946.49 : x
  2. Step 2: Convert to fraction form
    101,513.63/140,089.13 = 54,946.49/x
  3. Step 3: Cross multiply
    101,513.63x = 140,089.13 × 54,946.49
  4. Step 4: Simplify right side
    101,513.63x = 7,697,405,211.52
  5. Step 5: Solve for x
    x = 7,697,405,211.52/101,513.63
  6. Step 6: Final answer
    x = 75,826.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.