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Finding the Fourth Proportional to 50,871.60, 70,178.04 and 29,643.12

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Solution

The fourth proportional to 50,871.60, 70,178.04 and 29,643.12 is: 40,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,871.60 : 70,178.04 = 29,643.12 : x
  2. Step 2: Convert to fraction form
    50,871.60/70,178.04 = 29,643.12/x
  3. Step 3: Cross multiply
    50,871.60x = 70,178.04 × 29,643.12
  4. Step 4: Simplify right side
    50,871.60x = 2,080,296,061.08
  5. Step 5: Solve for x
    x = 2,080,296,061.08/50,871.60
  6. Step 6: Final answer
    x = 40,893.07

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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.