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Finding the Fourth Proportional to 42,678.52, 58,918.52 and 31,180.54

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Solution

The fourth proportional to 42,678.52, 58,918.52 and 31,180.54 is: 43,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,678.52 : 58,918.52 = 31,180.54 : x
  2. Step 2: Convert to fraction form
    42,678.52/58,918.52 = 31,180.54/x
  3. Step 3: Cross multiply
    42,678.52x = 58,918.52 × 31,180.54
  4. Step 4: Simplify right side
    42,678.52x = 1,837,111,269.60
  5. Step 5: Solve for x
    x = 1,837,111,269.60/42,678.52
  6. Step 6: Final answer
    x = 43,045.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.