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Finding the Fourth Proportional to 52,878.42, 72,866.79 and 37,728.38

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Solution

The fourth proportional to 52,878.42, 72,866.79 and 37,728.38 is: 51,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.42 : 72,866.79 = 37,728.38 : x
  2. Step 2: Convert to fraction form
    52,878.42/72,866.79 = 37,728.38/x
  3. Step 3: Cross multiply
    52,878.42x = 72,866.79 × 37,728.38
  4. Step 4: Simplify right side
    52,878.42x = 2,749,146,124.67
  5. Step 5: Solve for x
    x = 2,749,146,124.67/52,878.42
  6. Step 6: Final answer
    x = 51,989.94

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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.