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Finding the Fourth Proportional to 48,699.27, 67,194.32 and 31,701.69

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Solution

The fourth proportional to 48,699.27, 67,194.32 and 31,701.69 is: 43,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,699.27 : 67,194.32 = 31,701.69 : x
  2. Step 2: Convert to fraction form
    48,699.27/67,194.32 = 31,701.69/x
  3. Step 3: Cross multiply
    48,699.27x = 67,194.32 × 31,701.69
  4. Step 4: Simplify right side
    48,699.27x = 2,130,173,343.89
  5. Step 5: Solve for x
    x = 2,130,173,343.89/48,699.27
  6. Step 6: Final answer
    x = 43,741.38

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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.