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Finding the Fourth Proportional to 98,426.30, 147,662.96 and 31,866.50

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Solution

The fourth proportional to 98,426.30, 147,662.96 and 31,866.50 is: 47,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,426.30 : 147,662.96 = 31,866.50 : x
  2. Step 2: Convert to fraction form
    98,426.30/147,662.96 = 31,866.50/x
  3. Step 3: Cross multiply
    98,426.30x = 147,662.96 × 31,866.50
  4. Step 4: Simplify right side
    98,426.30x = 4,705,501,273.31
  5. Step 5: Solve for x
    x = 4,705,501,273.31/98,426.30
  6. Step 6: Final answer
    x = 47,807.36

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