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Finding the Fourth Proportional to 75,791.50, 104,599.66 and 56,638.01

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Solution

The fourth proportional to 75,791.50, 104,599.66 and 56,638.01 is: 78,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,791.50 : 104,599.66 = 56,638.01 : x
  2. Step 2: Convert to fraction form
    75,791.50/104,599.66 = 56,638.01/x
  3. Step 3: Cross multiply
    75,791.50x = 104,599.66 × 56,638.01
  4. Step 4: Simplify right side
    75,791.50x = 5,924,316,708.98
  5. Step 5: Solve for x
    x = 5,924,316,708.98/75,791.50
  6. Step 6: Final answer
    x = 78,165.98

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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.