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Finding the Fourth Proportional to 132,047.34, 197,983.38 and 47,796.48

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Solution

The fourth proportional to 132,047.34, 197,983.38 and 47,796.48 is: 71,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,047.34 : 197,983.38 = 47,796.48 : x
  2. Step 2: Convert to fraction form
    132,047.34/197,983.38 = 47,796.48/x
  3. Step 3: Cross multiply
    132,047.34x = 197,983.38 × 47,796.48
  4. Step 4: Simplify right side
    132,047.34x = 9,462,908,662.50
  5. Step 5: Solve for x
    x = 9,462,908,662.50/132,047.34
  6. Step 6: Final answer
    x = 71,663.00

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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.