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Finding the Fourth Proportional to 71,840.07, 99,140.94 and 40,011.93

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Solution

The fourth proportional to 71,840.07, 99,140.94 and 40,011.93 is: 55,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840.07 : 99,140.94 = 40,011.93 : x
  2. Step 2: Convert to fraction form
    71,840.07/99,140.94 = 40,011.93/x
  3. Step 3: Cross multiply
    71,840.07x = 99,140.94 × 40,011.93
  4. Step 4: Simplify right side
    71,840.07x = 3,966,820,351.41
  5. Step 5: Solve for x
    x = 3,966,820,351.41/71,840.07
  6. Step 6: Final answer
    x = 55,217.38

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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.