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Finding the Fourth Proportional to 40,548.42, 55,957.10 and 22,643.64

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Solution

The fourth proportional to 40,548.42, 55,957.10 and 22,643.64 is: 31,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,548.42 : 55,957.10 = 22,643.64 : x
  2. Step 2: Convert to fraction form
    40,548.42/55,957.10 = 22,643.64/x
  3. Step 3: Cross multiply
    40,548.42x = 55,957.10 × 22,643.64
  4. Step 4: Simplify right side
    40,548.42x = 1,267,072,314.63
  5. Step 5: Solve for x
    x = 1,267,072,314.63/40,548.42
  6. Step 6: Final answer
    x = 31,248.38

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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.