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Finding the Fourth Proportional to 56,526.82, 78,007.32 and 35,318.38

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Solution

The fourth proportional to 56,526.82, 78,007.32 and 35,318.38 is: 48,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,526.82 : 78,007.32 = 35,318.38 : x
  2. Step 2: Convert to fraction form
    56,526.82/78,007.32 = 35,318.38/x
  3. Step 3: Cross multiply
    56,526.82x = 78,007.32 × 35,318.38
  4. Step 4: Simplify right side
    56,526.82x = 2,755,092,170.54
  5. Step 5: Solve for x
    x = 2,755,092,170.54/56,526.82
  6. Step 6: Final answer
    x = 48,739.56

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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.