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Finding the Fourth Proportional to 98,237.52, 147,356.16 and 31,687.56

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Solution

The fourth proportional to 98,237.52, 147,356.16 and 31,687.56 is: 47,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,237.52 : 147,356.16 = 31,687.56 : x
  2. Step 2: Convert to fraction form
    98,237.52/147,356.16 = 31,687.56/x
  3. Step 3: Cross multiply
    98,237.52x = 147,356.16 × 31,687.56
  4. Step 4: Simplify right side
    98,237.52x = 4,669,357,161.37
  5. Step 5: Solve for x
    x = 4,669,357,161.37/98,237.52
  6. Step 6: Final answer
    x = 47,531.30

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Why These Related Problems?

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