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Finding the Fourth Proportional to 83,850.64, 115,697.10 and 48,051.88

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Solution

The fourth proportional to 83,850.64, 115,697.10 and 48,051.88 is: 66,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,850.64 : 115,697.10 = 48,051.88 : x
  2. Step 2: Convert to fraction form
    83,850.64/115,697.10 = 48,051.88/x
  3. Step 3: Cross multiply
    83,850.64x = 115,697.10 × 48,051.88
  4. Step 4: Simplify right side
    83,850.64x = 5,559,463,165.55
  5. Step 5: Solve for x
    x = 5,559,463,165.55/83,850.64
  6. Step 6: Final answer
    x = 66,301.98

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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.