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Finding the Fourth Proportional to 99,010.68, 148,456.71 and 31,513.56

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Solution

The fourth proportional to 99,010.68, 148,456.71 and 31,513.56 is: 47,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,010.68 : 148,456.71 = 31,513.56 : x
  2. Step 2: Convert to fraction form
    99,010.68/148,456.71 = 31,513.56/x
  3. Step 3: Cross multiply
    99,010.68x = 148,456.71 × 31,513.56
  4. Step 4: Simplify right side
    99,010.68x = 4,678,399,662.95
  5. Step 5: Solve for x
    x = 4,678,399,662.95/99,010.68
  6. Step 6: Final answer
    x = 47,251.46

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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.