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Finding the Fourth Proportional to 71,886.94, 99,202.64 and 40,055.16

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Solution

The fourth proportional to 71,886.94, 99,202.64 and 40,055.16 is: 55,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886.94 : 99,202.64 = 40,055.16 : x
  2. Step 2: Convert to fraction form
    71,886.94/99,202.64 = 40,055.16/x
  3. Step 3: Cross multiply
    71,886.94x = 99,202.64 × 40,055.16
  4. Step 4: Simplify right side
    71,886.94x = 3,973,577,617.62
  5. Step 5: Solve for x
    x = 3,973,577,617.62/71,886.94
  6. Step 6: Final answer
    x = 55,275.38

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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.