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Finding the Fourth Proportional to 103,606.31, 142,976.49 and 58,284.32

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Solution

The fourth proportional to 103,606.31, 142,976.49 and 58,284.32 is: 80,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,606.31 : 142,976.49 = 58,284.32 : x
  2. Step 2: Convert to fraction form
    103,606.31/142,976.49 = 58,284.32/x
  3. Step 3: Cross multiply
    103,606.31x = 142,976.49 × 58,284.32
  4. Step 4: Simplify right side
    103,606.31x = 8,333,287,316.92
  5. Step 5: Solve for x
    x = 8,333,287,316.92/103,606.31
  6. Step 6: Final answer
    x = 80,432.24

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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.