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Finding the Fourth Proportional to 54,980.76, 82,495.73 and 31,607.22

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Solution

The fourth proportional to 54,980.76, 82,495.73 and 31,607.22 is: 47,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,980.76 : 82,495.73 = 31,607.22 : x
  2. Step 2: Convert to fraction form
    54,980.76/82,495.73 = 31,607.22/x
  3. Step 3: Cross multiply
    54,980.76x = 82,495.73 × 31,607.22
  4. Step 4: Simplify right side
    54,980.76x = 2,607,460,687.17
  5. Step 5: Solve for x
    x = 2,607,460,687.17/54,980.76
  6. Step 6: Final answer
    x = 47,424.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.