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Finding the Fourth Proportional to 83,124.63, 114,621.27 and 56,220.43

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Solution

The fourth proportional to 83,124.63, 114,621.27 and 56,220.43 is: 77,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,124.63 : 114,621.27 = 56,220.43 : x
  2. Step 2: Convert to fraction form
    83,124.63/114,621.27 = 56,220.43/x
  3. Step 3: Cross multiply
    83,124.63x = 114,621.27 × 56,220.43
  4. Step 4: Simplify right side
    83,124.63x = 6,444,057,086.55
  5. Step 5: Solve for x
    x = 6,444,057,086.55/83,124.63
  6. Step 6: Final answer
    x = 77,522.84

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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.