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Finding the Fourth Proportional to 58,784, 81,122.52 and 31,927.03

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Solution

The fourth proportional to 58,784, 81,122.52 and 31,927.03 is: 44,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,784 : 81,122.52 = 31,927.03 : x
  2. Step 2: Convert to fraction form
    58,784/81,122.52 = 31,927.03/x
  3. Step 3: Cross multiply
    58,784x = 81,122.52 × 31,927.03
  4. Step 4: Simplify right side
    58,784x = 2,590,001,172.89
  5. Step 5: Solve for x
    x = 2,590,001,172.89/58,784
  6. Step 6: Final answer
    x = 44,059.63

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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.