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Finding the Fourth Proportional to 54,946.38, 75,825.54 and 31,072.98

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Solution

The fourth proportional to 54,946.38, 75,825.54 and 31,072.98 is: 42,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,946.38 : 75,825.54 = 31,072.98 : x
  2. Step 2: Convert to fraction form
    54,946.38/75,825.54 = 31,072.98/x
  3. Step 3: Cross multiply
    54,946.38x = 75,825.54 × 31,072.98
  4. Step 4: Simplify right side
    54,946.38x = 2,356,125,487.91
  5. Step 5: Solve for x
    x = 2,356,125,487.91/54,946.38
  6. Step 6: Final answer
    x = 42,880.45

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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.