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Finding the Fourth Proportional to 82,503.60, 123,733.80 and 56,203.44

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Solution

The fourth proportional to 82,503.60, 123,733.80 and 56,203.44 is: 84,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,503.60 : 123,733.80 = 56,203.44 : x
  2. Step 2: Convert to fraction form
    82,503.60/123,733.80 = 56,203.44/x
  3. Step 3: Cross multiply
    82,503.60x = 123,733.80 × 56,203.44
  4. Step 4: Simplify right side
    82,503.60x = 6,954,265,204.27
  5. Step 5: Solve for x
    x = 6,954,265,204.27/82,503.60
  6. Step 6: Final answer
    x = 84,290.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.