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Finding the Fourth Proportional to 71,887.94, 99,204.02 and 40,056.16

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Solution

The fourth proportional to 71,887.94, 99,204.02 and 40,056.16 is: 55,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,887.94 : 99,204.02 = 40,056.16 : x
  2. Step 2: Convert to fraction form
    71,887.94/99,204.02 = 40,056.16/x
  3. Step 3: Cross multiply
    71,887.94x = 99,204.02 × 40,056.16
  4. Step 4: Simplify right side
    71,887.94x = 3,973,732,097.76
  5. Step 5: Solve for x
    x = 3,973,732,097.76/71,887.94
  6. Step 6: Final answer
    x = 55,276.76

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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.