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Finding the Fourth Proportional to 51,504.73, 77,608.04 and 42,349.83

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Solution

The fourth proportional to 51,504.73, 77,608.04 and 42,349.83 is: 63,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,504.73 : 77,608.04 = 42,349.83 : x
  2. Step 2: Convert to fraction form
    51,504.73/77,608.04 = 42,349.83/x
  3. Step 3: Cross multiply
    51,504.73x = 77,608.04 × 42,349.83
  4. Step 4: Simplify right side
    51,504.73x = 3,286,687,406.51
  5. Step 5: Solve for x
    x = 3,286,687,406.51/51,504.73
  6. Step 6: Final answer
    x = 63,813.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.